Greatest Common Factor of 4913/692, 7495/7658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4913/692, 7495/7658

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 4913/692,7495/7658

Given fractions are 4913/692,7495/7658

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 4913,7495

Greatest Common Factor of Numerators i.e. GCF of 4913,7495 is 1 .

LCM of Denominators means LCM of 692,7658 as per the given fractions.

LCM of 692,7658 is 2649668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4913,7495

GCF of Fractions 4913/692,7495/7658 is 1/2649668

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

Greatest Common Factor of 4913,7495 By Matching Biggest Common Factor Method

Greatest Common Factor of 4913,7495 By Matching Biggest Common Factor Method

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1,17,289,4913

Factors of 7495

List of positive integer factors of 7495 that divides 7495 without a remainder.

1,5,1499,7495

Greatest Common Factor

We found the factors 4913,7495 . The biggest common factor number is the GCF number.
So the greatest common factor 4913,7495 is 1.

Lets's calculate LCM of 692,7658

2 692, 7658
346, 3829

∴ So the LCM of the given numbers is 2 x 346 x 3829 = 2649668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2649668

Therefore, the GCF of Fractions 4913/692,7495/7658 is 1/2649668

Least Common Multiple of 692,7658 with GCF Formula

Least Common Multiple of 692,7658 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 692,7658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,7658) = 2

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

GCF(692,7658) x common factors =2 x 1 = 2

LCM(692,7658) = ( 692 × 7658 ) / 2

LCM(692,7658) = 5299336 / 2

LCM(692,7658) = 2649668


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 4913/692, 7495/7658

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 4913/692, 7495/7658?

Answer: GCF of Numerators as per given numbers 4913/692, 7495/7658 is

GCF of Numerators i.e. for 4913,7495 is 1

LCM of denominators i.e. for 692,7658 is 2649668.

Thus, GCF of Fractions is 1/2649668.Finally, GCF of Fractions for 4913/692, 7495/7658 is 1/2649668.