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 713/73, 952/2067

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 713/73, 952/2067 i.e 1/150891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 713/73, 952/2067.

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 713/73,952/2067?

Given fractions are 713/73,952/2067

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 713/73,952/2067, numerators are 713,952

Denominators are 73,2067

The GCF of 713,952 is 1 .

LCM of 73,2067 is 150891.

The greatest common factor of 713/73,952/2067 = [GCF of 713,952]/[LCM of 73,2067]= 1/150891

Therefore, the GCF of 713/73,952/2067 is 1/150891.

Greatest Common Factor of 713,952

To find the highest common factor of 713,952, we have to find the factors of both numbers and list the highest common factor.

The factors of 713 are 1, 23, 31, 713

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The HCF of 713,952 is 1.

Lets's calculate GCF of 713,952

Greatest Common Factor (GCF) of 713,952 By Common Division

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

Greatest Common Factor of 713,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,952 By Matching Biggest Common Factor Method

Now, list down the factors of 713

:

1,23,31,713

Now, list down the factors of 952

:

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 713,952 . The biggest common factor number is the GCF number.
So the greatest common factor 713,952 is 1.


Lets's calculate LCM of 73,2067

Lowest Common Multiple of 73,2067 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 150891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150891

Therefore, the GCF of Fractions 713/73,952/2067 is 1/150891

Least Common Multiple of 73,2067 with GCF Formula

Least Common Multiple of 73,2067 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 73,2067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,2067) = 1

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

GCF(73,2067) x common factors =1 x 1 = 1

LCM(73,2067) = ( 73 × 2067 ) / 1

LCM(73,2067) = 150891 / 1

LCM(73,2067) = 150891


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 713/73, 952/2067

1. What is the HCF of 713,952?

The HCF of 713,952 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 713/73, 952/2067?

Answer: GCF of Numerators as per given numbers 713/73, 952/2067 is

GCF of Numerators i.e. for 713,952 is 1

LCM of denominators i.e. for 73,2067 is 150891.

Thus, GCF of Fractions is 1/150891.Finally, GCF of Fractions for 713/73, 952/2067 is 1/150891.