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GCF of 457/957, 928/768

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 457/957, 928/768 i.e 1/244992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/957, 928/768.

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 457/957,928/768?

Given fractions are 457/957,928/768

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 457/957,928/768, numerators are 457,928

Denominators are 957,768

The GCF of 457,928 is 1 .

LCM of 957,768 is 244992.

The greatest common factor of 457/957,928/768 = [GCF of 457,928]/[LCM of 957,768]= 1/244992

Therefore, the GCF of 457/957,928/768 is 1/244992.

Greatest Common Factor of 457,928

To find the highest common factor of 457,928, we have to find the factors of both numbers and list the highest common factor.

The factors of 457 are 1, 457

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The HCF of 457,928 is 1.

Lets's calculate GCF of 457,928

Greatest Common Factor (GCF) of 457,928 By Common Division

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

Greatest Common Factor of 457,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,928 By Matching Biggest Common Factor Method

Now, list down the factors of 457

:

1,457

Now, list down the factors of 928

:

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 457,928 . The biggest common factor number is the GCF number.
So the greatest common factor 457,928 is 1.

Lets's calculate LCM of 957,768

Lowest Common Multiple of 957,768 using Common Division

3 957, 768
319, 256

∴ So the LCM of the given numbers is 3 x 319 x 256 = 244992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244992

Therefore, the GCF of Fractions 457/957,928/768 is 1/244992

Least Common Multiple of 957,768 with GCF Formula

Least Common Multiple of 957,768 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 957,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,768) = 3

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

GCF(957,768) x common factors =3 x 1 = 3

LCM(957,768) = ( 957 × 768 ) / 3

LCM(957,768) = 734976 / 3

LCM(957,768) = 244992


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FAQs on GCF of Fractions of 457/957, 928/768

1. What is the HCF of 457,928?

The HCF of 457,928 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 457/957, 928/768?

Answer: GCF of Numerators as per given numbers 457/957, 928/768 is

GCF of Numerators i.e. for 457,928 is 1

LCM of denominators i.e. for 957,768 is 244992.

Thus, GCF of Fractions is 1/244992.Finally, GCF of Fractions for 457/957, 928/768 is 1/244992.