Greatest Common Factor of 4092/77, 3092/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4092/77, 3092/158

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 4092/77,3092/158

Given fractions are 4092/77,3092/158

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 4092,3092

Greatest Common Factor of Numerators i.e. GCF of 4092,3092 is 4 .

LCM of Denominators means LCM of 77,158 as per the given fractions.

LCM of 77,158 is 12166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4092,3092

GCF of Fractions 4092/77,3092/158 is 4/12166

2 4092, 3092
2 2046, 1546
1023, 773

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4092,3092 By Matching Biggest Common Factor Method

Greatest Common Factor of 4092,3092 By Matching Biggest Common Factor Method

Factors of 4092

List of positive integer factors of 4092 that divides 4092 without a remainder.

1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092

Factors of 3092

List of positive integer factors of 3092 that divides 3092 without a remainder.

1,2,4,773,1546,3092

Greatest Common Factor

We found the factors 4092,3092 . The biggest common factor number is the GCF number.
So the greatest common factor 4092,3092 is 4.

Lets's calculate LCM of 77,158

Given numbers has no common factors except 1. So, there LCM is their product i.e 12166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12166

Therefore, the GCF of Fractions 4092/77,3092/158 is 4/12166

Least Common Multiple of 77,158 with GCF Formula

Least Common Multiple of 77,158 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 77,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,158) = 1

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

GCF(77,158) x common factors =1 x 1 = 1

LCM(77,158) = ( 77 × 158 ) / 1

LCM(77,158) = 12166 / 1

LCM(77,158) = 12166


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 4092/77, 3092/158

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 4092/77, 3092/158?

Answer: GCF of Numerators as per given numbers 4092/77, 3092/158 is

GCF of Numerators i.e. for 4092,3092 is 4

LCM of denominators i.e. for 77,158 is 12166.

Thus, GCF of Fractions is 4/12166.Finally, GCF of Fractions for 4092/77, 3092/158 is 4/12166.