Greatest Common Factor of 692/782, 5260/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 692/782, 5260/253

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 692/782,5260/253

Given fractions are 692/782,5260/253

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 692,5260

Greatest Common Factor of Numerators i.e. GCF of 692,5260 is 4 .

LCM of Denominators means LCM of 782,253 as per the given fractions.

LCM of 782,253 is 8602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 692,5260

GCF of Fractions 692/782,5260/253 is 4/8602

2 692, 5260
2 346, 2630
173, 1315

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

Greatest Common Factor of 692,5260 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,5260 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Greatest Common Factor

We found the factors 692,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 692,5260 is 4.

Lets's calculate LCM of 782,253

23 782, 253
34, 11

∴ So the LCM of the given numbers is 23 x 34 x 11 = 8602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8602

Therefore, the GCF of Fractions 692/782,5260/253 is 4/8602

Least Common Multiple of 782,253 with GCF Formula

Least Common Multiple of 782,253 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 782,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,253) = 23

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

GCF(782,253) x common factors =23 x 1 = 23

LCM(782,253) = ( 782 × 253 ) / 23

LCM(782,253) = 197846 / 23

LCM(782,253) = 8602


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 692/782, 5260/253

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 692/782, 5260/253?

Answer: GCF of Numerators as per given numbers 692/782, 5260/253 is

GCF of Numerators i.e. for 692,5260 is 4

LCM of denominators i.e. for 782,253 is 8602.

Thus, GCF of Fractions is 4/8602.Finally, GCF of Fractions for 692/782, 5260/253 is 4/8602.