Greatest Common Factor of 5092/48, 2077/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5092/48, 2077/340

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 5092/48,2077/340

Given fractions are 5092/48,2077/340

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 5092,2077

Greatest Common Factor of Numerators i.e. GCF of 5092,2077 is 67 .

LCM of Denominators means LCM of 48,340 as per the given fractions.

LCM of 48,340 is 4080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5092,2077

GCF of Fractions 5092/48,2077/340 is 67/4080

67 5092, 2077
76, 31

∴ So the GCF of the given numbers is 67 = 67

Greatest Common Factor of 5092,2077 By Matching Biggest Common Factor Method

Greatest Common Factor of 5092,2077 By Matching Biggest Common Factor Method

Factors of 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1,2,4,19,38,67,76,134,268,1273,2546,5092

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1,31,67,2077

Greatest Common Factor

We found the factors 5092,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 5092,2077 is 67.

Lets's calculate LCM of 48,340

2 48, 340
2 24, 170
12, 85

∴ So the LCM of the given numbers is 2 x 2 x 12 x 85 = 4080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/4080

Therefore, the GCF of Fractions 5092/48,2077/340 is 67/4080

Least Common Multiple of 48,340 with GCF Formula

Least Common Multiple of 48,340 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 48,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,340) = 4

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

GCF(48,340) x common factors =4 x 1 = 4

LCM(48,340) = ( 48 × 340 ) / 4

LCM(48,340) = 16320 / 4

LCM(48,340) = 4080


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 5092/48, 2077/340

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 5092/48, 2077/340?

Answer: GCF of Numerators as per given numbers 5092/48, 2077/340 is

GCF of Numerators i.e. for 5092,2077 is 67

LCM of denominators i.e. for 48,340 is 4080.

Thus, GCF of Fractions is 67/4080.Finally, GCF of Fractions for 5092/48, 2077/340 is 67/4080.