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 385/73, 345/978

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 385/73, 345/978 i.e 5/71394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/73, 345/978.

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 385/73,345/978?

Given fractions are 385/73,345/978

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 385/73,345/978, numerators are 385,345

Denominators are 73,978

The GCF of 385,345 is 5 .

LCM of 73,978 is 71394.

The greatest common factor of 385/73,345/978 = [GCF of 385,345]/[LCM of 73,978]= 5/71394

Therefore, the GCF of 385/73,345/978 is 5/71394.

Greatest Common Factor of 385,345

To find the highest common factor of 385,345, we have to find the factors of both numbers and list the highest common factor.

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

The HCF of 385,345 is 5.

Lets's calculate GCF of 385,345

Greatest Common Factor (GCF) of 385,345 By Common Division

5 385, 345
77, 69

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 385,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,345 By Matching Biggest Common Factor Method

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Now, list down the factors of 345

:

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 385,345 . The biggest common factor number is the GCF number.
So the greatest common factor 385,345 is 5.

Lets's calculate LCM of 73,978

Lowest Common Multiple of 73,978 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 71394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/71394

Therefore, the GCF of Fractions 385/73,345/978 is 5/71394

Least Common Multiple of 73,978 with GCF Formula

Least Common Multiple of 73,978 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 73,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,978) = 1

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

GCF(73,978) x common factors =1 x 1 = 1

LCM(73,978) = ( 73 × 978 ) / 1

LCM(73,978) = 71394 / 1

LCM(73,978) = 71394


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 385/73, 345/978

1. What is the HCF of 385,345?

The HCF of 385,345 is 5

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 385/73, 345/978?

Answer: GCF of Numerators as per given numbers 385/73, 345/978 is

GCF of Numerators i.e. for 385,345 is 5

LCM of denominators i.e. for 73,978 is 71394.

Thus, GCF of Fractions is 5/71394.Finally, GCF of Fractions for 385/73, 345/978 is 5/71394.