Greatest Common Factor of 6994/53, 3530/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6994/53, 3530/134

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 6994/53,3530/134

Given fractions are 6994/53,3530/134

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 6994,3530

Greatest Common Factor of Numerators i.e. GCF of 6994,3530 is 2 .

LCM of Denominators means LCM of 53,134 as per the given fractions.

LCM of 53,134 is 7102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6994,3530

GCF of Fractions 6994/53,3530/134 is 2/7102

2 6994, 3530
3497, 1765

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6994,3530 By Matching Biggest Common Factor Method

Greatest Common Factor of 6994,3530 By Matching Biggest Common Factor Method

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1,2,13,26,269,538,3497,6994

Factors of 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1,2,5,10,353,706,1765,3530

Greatest Common Factor

We found the factors 6994,3530 . The biggest common factor number is the GCF number.
So the greatest common factor 6994,3530 is 2.

Lets's calculate LCM of 53,134

Given numbers has no common factors except 1. So, there LCM is their product i.e 7102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7102

Therefore, the GCF of Fractions 6994/53,3530/134 is 2/7102

Least Common Multiple of 53,134 with GCF Formula

Least Common Multiple of 53,134 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 53,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,134) = 1

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

GCF(53,134) x common factors =1 x 1 = 1

LCM(53,134) = ( 53 × 134 ) / 1

LCM(53,134) = 7102 / 1

LCM(53,134) = 7102


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 6994/53, 3530/134

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 6994/53, 3530/134?

Answer: GCF of Numerators as per given numbers 6994/53, 3530/134 is

GCF of Numerators i.e. for 6994,3530 is 2

LCM of denominators i.e. for 53,134 is 7102.

Thus, GCF of Fractions is 2/7102.Finally, GCF of Fractions for 6994/53, 3530/134 is 2/7102.