Greatest Common Factor of 708/625, 1101/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/625, 1101/262

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 708/625,1101/262

Given fractions are 708/625,1101/262

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 708,1101

Greatest Common Factor of Numerators i.e. GCF of 708,1101 is 3 .

LCM of Denominators means LCM of 625,262 as per the given fractions.

LCM of 625,262 is 163750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,1101

GCF of Fractions 708/625,1101/262 is 3/163750

3 708, 1101
236, 367

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 708,1101 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,1101 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 1101

List of positive integer factors of 1101 that divides 1101 without a remainder.

1,3,367,1101

Greatest Common Factor

We found the factors 708,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 708,1101 is 3.

Lets's calculate LCM of 625,262

Given numbers has no common factors except 1. So, there LCM is their product i.e 163750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/163750

Therefore, the GCF of Fractions 708/625,1101/262 is 3/163750

Least Common Multiple of 625,262 with GCF Formula

Least Common Multiple of 625,262 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 625,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,262) = 1

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

GCF(625,262) x common factors =1 x 1 = 1

LCM(625,262) = ( 625 × 262 ) / 1

LCM(625,262) = 163750 / 1

LCM(625,262) = 163750


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 708/625, 1101/262

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 708/625, 1101/262?

Answer: GCF of Numerators as per given numbers 708/625, 1101/262 is

GCF of Numerators i.e. for 708,1101 is 3

LCM of denominators i.e. for 625,262 is 163750.

Thus, GCF of Fractions is 3/163750.Finally, GCF of Fractions for 708/625, 1101/262 is 3/163750.