Greatest Common Factor of 448/49, 636/53, 764/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 448/49, 636/53, 764/175

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 448/49,636/53,764/175

Given fractions are 448/49,636/53,764/175

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 448,636,764

Greatest Common Factor of Numerators i.e. GCF of 448,636,764 is 4 .

LCM of Denominators means LCM of 49,53,175 as per the given fractions.

LCM of 49,53,175 is 64925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 448,636,764

GCF of Fractions 448/49,636/53,764/175 is 4/64925

2 448, 636, 764
2 224, 318, 382
112, 159, 191

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 448,636,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,636,764 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 448,636,764 . The biggest common factor number is the GCF number.
So the greatest common factor 448,636,764 is 4.

Lets's calculate LCM of 49,53,175

7 49, 53, 175
7, 53, 25

∴ So the LCM of the given numbers is 7 x 7 x 53 x 25 = 64925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/64925

Therefore, the GCF of Fractions 448/49,636/53,764/175 is 4/64925

Least Common Multiple of 49,53,175 with GCF Formula

Least Common Multiple of 49,53,175 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 49,53,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,53,175) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,53,175) x common factors =1 x 7 = 7

LCM(49,53,175) = ( 49 × 53 × 175 ) / 7

LCM(49,53,175) = 454475 / 7

LCM(49,53,175) = 64925


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 448/49, 636/53, 764/175

1. 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.

2. What is the GCF of Fractions for 448/49, 636/53, 764/175?

Answer: GCF of Numerators as per given numbers 448/49, 636/53, 764/175 is

GCF of Numerators i.e. for 448,636,764 is 4

LCM of denominators i.e. for 49,53,175 is 64925.

Thus, GCF of Fractions is 4/64925.Finally, GCF of Fractions for 448/49, 636/53, 764/175 is 4/64925.