Greatest Common Factor of 699/91, 280/8141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/91, 280/8141

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 699/91,280/8141

Given fractions are 699/91,280/8141

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 699,280

Greatest Common Factor of Numerators i.e. GCF of 699,280 is 1 .

LCM of Denominators means LCM of 91,8141 as per the given fractions.

LCM of 91,8141 is 105833 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,280

GCF of Fractions 699/91,280/8141 is 1/105833

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

Greatest Common Factor of 699,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,280 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 699,280 . The biggest common factor number is the GCF number.
So the greatest common factor 699,280 is 1.

Lets's calculate LCM of 91,8141

7 91, 8141
13, 1163

∴ So the LCM of the given numbers is 7 x 13 x 1163 = 105833

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105833

Therefore, the GCF of Fractions 699/91,280/8141 is 1/105833

Least Common Multiple of 91,8141 with GCF Formula

Least Common Multiple of 91,8141 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 91,8141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,8141) = 7

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

GCF(91,8141) x common factors =7 x 1 = 7

LCM(91,8141) = ( 91 × 8141 ) / 7

LCM(91,8141) = 740831 / 7

LCM(91,8141) = 105833


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 699/91, 280/8141

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 699/91, 280/8141?

Answer: GCF of Numerators as per given numbers 699/91, 280/8141 is

GCF of Numerators i.e. for 699,280 is 1

LCM of denominators i.e. for 91,8141 is 105833.

Thus, GCF of Fractions is 1/105833.Finally, GCF of Fractions for 699/91, 280/8141 is 1/105833.