Greatest Common Factor of 709/495, 6162/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 709/495, 6162/635

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 709/495,6162/635

Given fractions are 709/495,6162/635

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 709,6162

Greatest Common Factor of Numerators i.e. GCF of 709,6162 is 1 .

LCM of Denominators means LCM of 495,635 as per the given fractions.

LCM of 495,635 is 62865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 709,6162

GCF of Fractions 709/495,6162/635 is 1/62865

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

Greatest Common Factor of 709,6162 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,6162 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Greatest Common Factor

We found the factors 709,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 709,6162 is 1.

Lets's calculate LCM of 495,635

5 495, 635
99, 127

∴ So the LCM of the given numbers is 5 x 99 x 127 = 62865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62865

Therefore, the GCF of Fractions 709/495,6162/635 is 1/62865

Least Common Multiple of 495,635 with GCF Formula

Least Common Multiple of 495,635 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 495,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,635) = 5

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

GCF(495,635) x common factors =5 x 1 = 5

LCM(495,635) = ( 495 × 635 ) / 5

LCM(495,635) = 314325 / 5

LCM(495,635) = 62865


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 709/495, 6162/635

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 709/495, 6162/635?

Answer: GCF of Numerators as per given numbers 709/495, 6162/635 is

GCF of Numerators i.e. for 709,6162 is 1

LCM of denominators i.e. for 495,635 is 62865.

Thus, GCF of Fractions is 1/62865.Finally, GCF of Fractions for 709/495, 6162/635 is 1/62865.