LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 2742/532, 2713/6976

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 2742/532, 2713/6976 i.e 1/927808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2742/532, 2713/6976.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2742/532,2713/6976?

Given fractions are 2742/532,2713/6976

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2742/532,2713/6976, numerators are 2742,2713

Denominators are 532,6976

The GCF of 2742,2713 is 1 .

LCM of 532,6976 is 927808.

The greatest common factor of 2742/532,2713/6976 = [GCF of 2742,2713]/[LCM of 532,6976]= 1/927808

Therefore, the GCF of 2742/532,2713/6976 is 1/927808.

Greatest Common Factor of 2742,2713

To find the highest common factor of 2742,2713, we have to find the factors of both numbers and list the highest common factor.

The factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742

The factors of 2713 are 1, 2713

The HCF of 2742,2713 is 1.

Lets's calculate GCF of 2742,2713

Greatest Common Factor (GCF) of 2742,2713 By Common Division

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

Greatest Common Factor of 2742,2713 By Matching Biggest Common Factor Method

Greatest Common Factor of 2742,2713 By Matching Biggest Common Factor Method

Now, list down the factors of 2742

:

1,2,3,6,457,914,1371,2742

Now, list down the factors of 2713

:

1,2713

Greatest Common Factor

We found the factors 2742,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 2742,2713 is 1.


Lets's calculate LCM of 532,6976

Lowest Common Multiple of 532,6976 using Common Division

2 532, 6976
2 266, 3488
133, 1744

∴ So the LCM of the given numbers is 2 x 2 x 133 x 1744 = 927808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927808

Therefore, the GCF of Fractions 2742/532,2713/6976 is 1/927808

Least Common Multiple of 532,6976 with GCF Formula

Least Common Multiple of 532,6976 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 532,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,6976) = 4

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

GCF(532,6976) x common factors =4 x 1 = 4

LCM(532,6976) = ( 532 × 6976 ) / 4

LCM(532,6976) = 3711232 / 4

LCM(532,6976) = 927808


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2742/532, 2713/6976

1. What is the HCF of 2742,2713?

The HCF of 2742,2713 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 2742/532, 2713/6976?

Answer: GCF of Numerators as per given numbers 2742/532, 2713/6976 is

GCF of Numerators i.e. for 2742,2713 is 1

LCM of denominators i.e. for 532,6976 is 927808.

Thus, GCF of Fractions is 1/927808.Finally, GCF of Fractions for 2742/532, 2713/6976 is 1/927808.