LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 1/97, 37/73, 49/335, 602/377

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 1/97, 37/73, 49/335, 602/377 i.e 1/894294895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/97, 37/73, 49/335, 602/377.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1/97,37/73,49/335,602/377?

Given fractions are 1/97,37/73,49/335,602/377

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1/97,37/73,49/335,602/377, numerators are 1,37,49,602

Denominators are 97,73,335,377

The GCF of 1,37,49,602 is 1 .

LCM of 97,73,335,377 is 894294895.

The greatest common factor of 1/97,37/73,49/335,602/377 = [GCF of 1,37,49,602]/[LCM of 97,73,335,377]= 1/894294895

Therefore, the GCF of 1/97,37/73,49/335,602/377 is 1/894294895.

Greatest Common Factor of 1,37,49,602

To find the highest common factor of 1,37,49,602, we have to find the factors of both numbers and list the highest common factor.

The factors of 1 are 1

The factors of 37 are 1, 37

The factors of 49 are 1, 7, 49

The factors of 602 are 1, 2, 7, 14, 43, 86, 301, 602

The HCF of 1,37,49,602 is 1.

Lets's calculate GCF of 1,37,49,602

Greatest Common Factor (GCF) of 1,37,49,602 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1,37,49,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,37,49,602 By Matching Biggest Common Factor Method

Now, list down the factors of 1

:

1

Now, list down the factors of 37

:

1,37

Now, list down the factors of 49

:

1,7,49

Now, list down the factors of 602

:

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 1,37,49,602 . The biggest common factor number is the GCF number.
So the greatest common factor 1,37,49,602 is 1.


Lets's calculate LCM of 97,73,335,377

Lowest Common Multiple of 97,73,335,377 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 894294895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894294895

Therefore, the GCF of Fractions 1/97,37/73,49/335,602/377 is 1/894294895

Least Common Multiple of 97,73,335,377 with GCF Formula

Least Common Multiple of 97,73,335,377 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 97,73,335,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,73,335,377) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(97,73,335,377) x common factors =1 x 1 = 1

LCM(97,73,335,377) = ( 97 × 73 × 335 × 377 ) / 1

LCM(97,73,335,377) = 894294895 / 1

LCM(97,73,335,377) = 894294895


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1/97, 37/73, 49/335, 602/377

1. What is the HCF of 1,37,49,602?

The HCF of 1,37,49,602 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1/97, 37/73, 49/335, 602/377?

Answer: GCF of Numerators as per given numbers 1/97, 37/73, 49/335, 602/377 is

GCF of Numerators i.e. for 1,37,49,602 is 1

LCM of denominators i.e. for 97,73,335,377 is 894294895.

Thus, GCF of Fractions is 1/894294895.Finally, GCF of Fractions for 1/97, 37/73, 49/335, 602/377 is 1/894294895.