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GCF of 395/504, 977/728

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 395/504, 977/728 i.e 1/6552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 395/504, 977/728.

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 395/504,977/728?

Given fractions are 395/504,977/728

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 395/504,977/728, numerators are 395,977

Denominators are 504,728

The GCF of 395,977 is 1 .

LCM of 504,728 is 6552.

The greatest common factor of 395/504,977/728 = [GCF of 395,977]/[LCM of 504,728]= 1/6552

Therefore, the GCF of 395/504,977/728 is 1/6552.

Greatest Common Factor of 395,977

To find the highest common factor of 395,977, we have to find the factors of both numbers and list the highest common factor.

The factors of 395 are 1, 5, 79, 395

The factors of 977 are 1, 977

The HCF of 395,977 is 1.

Lets's calculate GCF of 395,977

Greatest Common Factor (GCF) of 395,977 By Common Division

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

Greatest Common Factor of 395,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 395,977 By Matching Biggest Common Factor Method

Now, list down the factors of 395

:

1,5,79,395

Now, list down the factors of 977

:

1,977

Greatest Common Factor

We found the factors 395,977 . The biggest common factor number is the GCF number.
So the greatest common factor 395,977 is 1.

Lets's calculate LCM of 504,728

Lowest Common Multiple of 504,728 using Common Division

2 504, 728
2 252, 364
2 126, 182
7 63, 91
9, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 9 x 13 = 6552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6552

Therefore, the GCF of Fractions 395/504,977/728 is 1/6552

Least Common Multiple of 504,728 with GCF Formula

Least Common Multiple of 504,728 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 504,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,728) = 56

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

GCF(504,728) x common factors =56 x 1 = 56

LCM(504,728) = ( 504 × 728 ) / 56

LCM(504,728) = 366912 / 56

LCM(504,728) = 6552


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FAQs on GCF of Fractions of 395/504, 977/728

1. What is the HCF of 395,977?

The HCF of 395,977 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 395/504, 977/728?

Answer: GCF of Numerators as per given numbers 395/504, 977/728 is

GCF of Numerators i.e. for 395,977 is 1

LCM of denominators i.e. for 504,728 is 6552.

Thus, GCF of Fractions is 1/6552.Finally, GCF of Fractions for 395/504, 977/728 is 1/6552.