Greatest Common Factor of 7006/65, 3347/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7006/65, 3347/755

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 7006/65,3347/755

Given fractions are 7006/65,3347/755

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 7006,3347

Greatest Common Factor of Numerators i.e. GCF of 7006,3347 is 1 .

LCM of Denominators means LCM of 65,755 as per the given fractions.

LCM of 65,755 is 9815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7006,3347

GCF of Fractions 7006/65,3347/755 is 1/9815

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

Greatest Common Factor of 7006,3347 By Matching Biggest Common Factor Method

Greatest Common Factor of 7006,3347 By Matching Biggest Common Factor Method

Factors of 7006

List of positive integer factors of 7006 that divides 7006 without a remainder.

1,2,31,62,113,226,3503,7006

Factors of 3347

List of positive integer factors of 3347 that divides 3347 without a remainder.

1,3347

Greatest Common Factor

We found the factors 7006,3347 . The biggest common factor number is the GCF number.
So the greatest common factor 7006,3347 is 1.

Lets's calculate LCM of 65,755

5 65, 755
13, 151

∴ So the LCM of the given numbers is 5 x 13 x 151 = 9815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9815

Therefore, the GCF of Fractions 7006/65,3347/755 is 1/9815

Least Common Multiple of 65,755 with GCF Formula

Least Common Multiple of 65,755 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 65,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,755) = 5

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

GCF(65,755) x common factors =5 x 1 = 5

LCM(65,755) = ( 65 × 755 ) / 5

LCM(65,755) = 49075 / 5

LCM(65,755) = 9815


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 7006/65, 3347/755

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 7006/65, 3347/755?

Answer: GCF of Numerators as per given numbers 7006/65, 3347/755 is

GCF of Numerators i.e. for 7006,3347 is 1

LCM of denominators i.e. for 65,755 is 9815.

Thus, GCF of Fractions is 1/9815.Finally, GCF of Fractions for 7006/65, 3347/755 is 1/9815.