Greatest Common Factor of 7861/998, 1692/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7861/998, 1692/166

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 7861/998,1692/166

Given fractions are 7861/998,1692/166

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 7861,1692

Greatest Common Factor of Numerators i.e. GCF of 7861,1692 is 1 .

LCM of Denominators means LCM of 998,166 as per the given fractions.

LCM of 998,166 is 82834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7861,1692

GCF of Fractions 7861/998,1692/166 is 1/82834

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

Greatest Common Factor of 7861,1692 By Matching Biggest Common Factor Method

Greatest Common Factor of 7861,1692 By Matching Biggest Common Factor Method

Factors of 7861

List of positive integer factors of 7861 that divides 7861 without a remainder.

1,7,1123,7861

Factors of 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692

Greatest Common Factor

We found the factors 7861,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 7861,1692 is 1.

Lets's calculate LCM of 998,166

2 998, 166
499, 83

∴ So the LCM of the given numbers is 2 x 499 x 83 = 82834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82834

Therefore, the GCF of Fractions 7861/998,1692/166 is 1/82834

Least Common Multiple of 998,166 with GCF Formula

Least Common Multiple of 998,166 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 998,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,166) = 2

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

GCF(998,166) x common factors =2 x 1 = 2

LCM(998,166) = ( 998 × 166 ) / 2

LCM(998,166) = 165668 / 2

LCM(998,166) = 82834


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 7861/998, 1692/166

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 7861/998, 1692/166?

Answer: GCF of Numerators as per given numbers 7861/998, 1692/166 is

GCF of Numerators i.e. for 7861,1692 is 1

LCM of denominators i.e. for 998,166 is 82834.

Thus, GCF of Fractions is 1/82834.Finally, GCF of Fractions for 7861/998, 1692/166 is 1/82834.