Greatest Common Factor of 7949/770, 1877/1205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7949/770, 1877/1205

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 7949/770,1877/1205

Given fractions are 7949/770,1877/1205

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 7949,1877

Greatest Common Factor of Numerators i.e. GCF of 7949,1877 is 1 .

LCM of Denominators means LCM of 770,1205 as per the given fractions.

LCM of 770,1205 is 185570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7949,1877

GCF of Fractions 7949/770,1877/1205 is 1/185570

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

Greatest Common Factor of 7949,1877 By Matching Biggest Common Factor Method

Greatest Common Factor of 7949,1877 By Matching Biggest Common Factor Method

Factors of 7949

List of positive integer factors of 7949 that divides 7949 without a remainder.

1,7949

Factors of 1877

List of positive integer factors of 1877 that divides 1877 without a remainder.

1,1877

Greatest Common Factor

We found the factors 7949,1877 . The biggest common factor number is the GCF number.
So the greatest common factor 7949,1877 is 1.

Lets's calculate LCM of 770,1205

5 770, 1205
154, 241

∴ So the LCM of the given numbers is 5 x 154 x 241 = 185570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185570

Therefore, the GCF of Fractions 7949/770,1877/1205 is 1/185570

Least Common Multiple of 770,1205 with GCF Formula

Least Common Multiple of 770,1205 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 770,1205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,1205) = 5

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

GCF(770,1205) x common factors =5 x 1 = 5

LCM(770,1205) = ( 770 × 1205 ) / 5

LCM(770,1205) = 927850 / 5

LCM(770,1205) = 185570


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 7949/770, 1877/1205

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 7949/770, 1877/1205?

Answer: GCF of Numerators as per given numbers 7949/770, 1877/1205 is

GCF of Numerators i.e. for 7949,1877 is 1

LCM of denominators i.e. for 770,1205 is 185570.

Thus, GCF of Fractions is 1/185570.Finally, GCF of Fractions for 7949/770, 1877/1205 is 1/185570.