Greatest Common Factor of 2752/701, 5348/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2752/701, 5348/343

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 2752/701,5348/343

Given fractions are 2752/701,5348/343

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 2752,5348

Greatest Common Factor of Numerators i.e. GCF of 2752,5348 is 4 .

LCM of Denominators means LCM of 701,343 as per the given fractions.

LCM of 701,343 is 240443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2752,5348

GCF of Fractions 2752/701,5348/343 is 4/240443

2 2752, 5348
2 1376, 2674
688, 1337

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2752,5348 By Matching Biggest Common Factor Method

Greatest Common Factor of 2752,5348 By Matching Biggest Common Factor Method

Factors of 2752

List of positive integer factors of 2752 that divides 2752 without a remainder.

1,2,4,8,16,32,43,64,86,172,344,688,1376,2752

Factors of 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1,2,4,7,14,28,191,382,764,1337,2674,5348

Greatest Common Factor

We found the factors 2752,5348 . The biggest common factor number is the GCF number.
So the greatest common factor 2752,5348 is 4.

Lets's calculate LCM of 701,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 240443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/240443

Therefore, the GCF of Fractions 2752/701,5348/343 is 4/240443

Least Common Multiple of 701,343 with GCF Formula

Least Common Multiple of 701,343 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 701,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,343) = 1

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

GCF(701,343) x common factors =1 x 1 = 1

LCM(701,343) = ( 701 × 343 ) / 1

LCM(701,343) = 240443 / 1

LCM(701,343) = 240443


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 2752/701, 5348/343

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 2752/701, 5348/343?

Answer: GCF of Numerators as per given numbers 2752/701, 5348/343 is

GCF of Numerators i.e. for 2752,5348 is 4

LCM of denominators i.e. for 701,343 is 240443.

Thus, GCF of Fractions is 4/240443.Finally, GCF of Fractions for 2752/701, 5348/343 is 4/240443.