Greatest Common Factor of 451/49, 628/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/49, 628/175

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 451/49,628/175

Given fractions are 451/49,628/175

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 451,628

Greatest Common Factor of Numerators i.e. GCF of 451,628 is 1 .

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

LCM of 49,175 is 1225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,628

GCF of Fractions 451/49,628/175 is 1/1225

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

Greatest Common Factor of 451,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,628 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 451,628 . The biggest common factor number is the GCF number.
So the greatest common factor 451,628 is 1.

Lets's calculate LCM of 49,175

7 49, 175
7, 25

∴ So the LCM of the given numbers is 7 x 7 x 25 = 1225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1225

Therefore, the GCF of Fractions 451/49,628/175 is 1/1225

Least Common Multiple of 49,175 with GCF Formula

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

GCF(49,175) = 7

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

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

LCM(49,175) = ( 49 × 175 ) / 7

LCM(49,175) = 8575 / 7

LCM(49,175) = 1225


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 451/49, 628/175

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 451/49, 628/175?

Answer: GCF of Numerators as per given numbers 451/49, 628/175 is

GCF of Numerators i.e. for 451,628 is 1

LCM of denominators i.e. for 49,175 is 1225.

Thus, GCF of Fractions is 1/1225.Finally, GCF of Fractions for 451/49, 628/175 is 1/1225.