Greatest Common Factor of 991/95, 364/26, 692/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/95, 364/26, 692/162

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 991/95,364/26,692/162

Given fractions are 991/95,364/26,692/162

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 991,364,692

Greatest Common Factor of Numerators i.e. GCF of 991,364,692 is 1 .

LCM of Denominators means LCM of 95,26,162 as per the given fractions.

LCM of 95,26,162 is 200070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,364,692

GCF of Fractions 991/95,364/26,692/162 is 1/200070

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

Greatest Common Factor of 991,364,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,364,692 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 991,364,692 . The biggest common factor number is the GCF number.
So the greatest common factor 991,364,692 is 1.

Lets's calculate LCM of 95,26,162

2 95, 26, 162
95, 13, 81

∴ So the LCM of the given numbers is 2 x 95 x 13 x 81 = 200070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200070

Therefore, the GCF of Fractions 991/95,364/26,692/162 is 1/200070

Least Common Multiple of 95,26,162 with GCF Formula

Least Common Multiple of 95,26,162 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 95,26,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,26,162) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(95,26,162) x common factors =1 x 2 = 2

LCM(95,26,162) = ( 95 × 26 × 162 ) / 2

LCM(95,26,162) = 400140 / 2

LCM(95,26,162) = 200070


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 991/95, 364/26, 692/162

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 991/95, 364/26, 692/162?

Answer: GCF of Numerators as per given numbers 991/95, 364/26, 692/162 is

GCF of Numerators i.e. for 991,364,692 is 1

LCM of denominators i.e. for 95,26,162 is 200070.

Thus, GCF of Fractions is 1/200070.Finally, GCF of Fractions for 991/95, 364/26, 692/162 is 1/200070.