Greatest Common Factor of 2071/746, 6340/7685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2071/746, 6340/7685

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 2071/746,6340/7685

Given fractions are 2071/746,6340/7685

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 2071,6340

Greatest Common Factor of Numerators i.e. GCF of 2071,6340 is 1 .

LCM of Denominators means LCM of 746,7685 as per the given fractions.

LCM of 746,7685 is 5733010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2071,6340

GCF of Fractions 2071/746,6340/7685 is 1/5733010

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

Greatest Common Factor of 2071,6340 By Matching Biggest Common Factor Method

Greatest Common Factor of 2071,6340 By Matching Biggest Common Factor Method

Factors of 2071

List of positive integer factors of 2071 that divides 2071 without a remainder.

1,19,109,2071

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1,2,4,5,10,20,317,634,1268,1585,3170,6340

Greatest Common Factor

We found the factors 2071,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 2071,6340 is 1.

Lets's calculate LCM of 746,7685

Given numbers has no common factors except 1. So, there LCM is their product i.e 5733010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5733010

Therefore, the GCF of Fractions 2071/746,6340/7685 is 1/5733010

Least Common Multiple of 746,7685 with GCF Formula

Least Common Multiple of 746,7685 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 746,7685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,7685) = 1

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

GCF(746,7685) x common factors =1 x 1 = 1

LCM(746,7685) = ( 746 × 7685 ) / 1

LCM(746,7685) = 5733010 / 1

LCM(746,7685) = 5733010


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 2071/746, 6340/7685

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 2071/746, 6340/7685?

Answer: GCF of Numerators as per given numbers 2071/746, 6340/7685 is

GCF of Numerators i.e. for 2071,6340 is 1

LCM of denominators i.e. for 746,7685 is 5733010.

Thus, GCF of Fractions is 1/5733010.Finally, GCF of Fractions for 2071/746, 6340/7685 is 1/5733010.