Greatest Common Factor of 686/824, 6415/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/824, 6415/788

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 686/824,6415/788

Given fractions are 686/824,6415/788

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 686,6415

Greatest Common Factor of Numerators i.e. GCF of 686,6415 is 1 .

LCM of Denominators means LCM of 824,788 as per the given fractions.

LCM of 824,788 is 162328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,6415

GCF of Fractions 686/824,6415/788 is 1/162328

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

Greatest Common Factor of 686,6415 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,6415 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 6415

List of positive integer factors of 6415 that divides 6415 without a remainder.

1,5,1283,6415

Greatest Common Factor

We found the factors 686,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 686,6415 is 1.

Lets's calculate LCM of 824,788

2 824, 788
2 412, 394
206, 197

∴ So the LCM of the given numbers is 2 x 2 x 206 x 197 = 162328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162328

Therefore, the GCF of Fractions 686/824,6415/788 is 1/162328

Least Common Multiple of 824,788 with GCF Formula

Least Common Multiple of 824,788 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 824,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,788) = 4

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

GCF(824,788) x common factors =4 x 1 = 4

LCM(824,788) = ( 824 × 788 ) / 4

LCM(824,788) = 649312 / 4

LCM(824,788) = 162328


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 686/824, 6415/788

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 686/824, 6415/788?

Answer: GCF of Numerators as per given numbers 686/824, 6415/788 is

GCF of Numerators i.e. for 686,6415 is 1

LCM of denominators i.e. for 824,788 is 162328.

Thus, GCF of Fractions is 1/162328.Finally, GCF of Fractions for 686/824, 6415/788 is 1/162328.