Greatest Common Factor of 1185/763, 6070/1121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1185/763, 6070/1121

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 1185/763,6070/1121

Given fractions are 1185/763,6070/1121

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 1185,6070

Greatest Common Factor of Numerators i.e. GCF of 1185,6070 is 5 .

LCM of Denominators means LCM of 763,1121 as per the given fractions.

LCM of 763,1121 is 855323 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1185,6070

GCF of Fractions 1185/763,6070/1121 is 5/855323

5 1185, 6070
237, 1214

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1185,6070 By Matching Biggest Common Factor Method

Greatest Common Factor of 1185,6070 By Matching Biggest Common Factor Method

Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1,3,5,15,79,237,395,1185

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1,2,5,10,607,1214,3035,6070

Greatest Common Factor

We found the factors 1185,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 1185,6070 is 5.

Lets's calculate LCM of 763,1121

Given numbers has no common factors except 1. So, there LCM is their product i.e 855323

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/855323

Therefore, the GCF of Fractions 1185/763,6070/1121 is 5/855323

Least Common Multiple of 763,1121 with GCF Formula

Least Common Multiple of 763,1121 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 763,1121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,1121) = 1

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

GCF(763,1121) x common factors =1 x 1 = 1

LCM(763,1121) = ( 763 × 1121 ) / 1

LCM(763,1121) = 855323 / 1

LCM(763,1121) = 855323


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 1185/763, 6070/1121

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 1185/763, 6070/1121?

Answer: GCF of Numerators as per given numbers 1185/763, 6070/1121 is

GCF of Numerators i.e. for 1185,6070 is 5

LCM of denominators i.e. for 763,1121 is 855323.

Thus, GCF of Fractions is 5/855323.Finally, GCF of Fractions for 1185/763, 6070/1121 is 5/855323.