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GCF of 757/465, 926/760

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 757/465, 926/760 i.e 1/70680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/465, 926/760.

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 757/465,926/760?

Given fractions are 757/465,926/760

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 757/465,926/760, numerators are 757,926

Denominators are 465,760

The GCF of 757,926 is 1 .

LCM of 465,760 is 70680.

The greatest common factor of 757/465,926/760 = [GCF of 757,926]/[LCM of 465,760]= 1/70680

Therefore, the GCF of 757/465,926/760 is 1/70680.

Greatest Common Factor of 757,926

To find the highest common factor of 757,926, we have to find the factors of both numbers and list the highest common factor.

The factors of 757 are 1, 757

The factors of 926 are 1, 2, 463, 926

The HCF of 757,926 is 1.

Lets's calculate GCF of 757,926

Greatest Common Factor (GCF) of 757,926 By Common Division

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

Greatest Common Factor of 757,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,926 By Matching Biggest Common Factor Method

Now, list down the factors of 757

:

1,757

Now, list down the factors of 926

:

1,2,463,926

Greatest Common Factor

We found the factors 757,926 . The biggest common factor number is the GCF number.
So the greatest common factor 757,926 is 1.

Lets's calculate LCM of 465,760

Lowest Common Multiple of 465,760 using Common Division

5 465, 760
93, 152

∴ So the LCM of the given numbers is 5 x 93 x 152 = 70680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70680

Therefore, the GCF of Fractions 757/465,926/760 is 1/70680

Least Common Multiple of 465,760 with GCF Formula

Least Common Multiple of 465,760 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 465,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,760) = 5

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

GCF(465,760) x common factors =5 x 1 = 5

LCM(465,760) = ( 465 × 760 ) / 5

LCM(465,760) = 353400 / 5

LCM(465,760) = 70680


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FAQs on GCF of Fractions of 757/465, 926/760

1. What is the HCF of 757,926?

The HCF of 757,926 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 757/465, 926/760?

Answer: GCF of Numerators as per given numbers 757/465, 926/760 is

GCF of Numerators i.e. for 757,926 is 1

LCM of denominators i.e. for 465,760 is 70680.

Thus, GCF of Fractions is 1/70680.Finally, GCF of Fractions for 757/465, 926/760 is 1/70680.