Greatest Common Factor of 49/26, 53/64, 548/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/26, 53/64, 548/341

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 49/26,53/64,548/341

Given fractions are 49/26,53/64,548/341

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 49,53,548

Greatest Common Factor of Numerators i.e. GCF of 49,53,548 is 1 .

LCM of Denominators means LCM of 26,64,341 as per the given fractions.

LCM of 26,64,341 is 283712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,53,548

GCF of Fractions 49/26,53/64,548/341 is 1/283712

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

Greatest Common Factor of 49,53,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,53,548 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 49,53,548 . The biggest common factor number is the GCF number.
So the greatest common factor 49,53,548 is 1.

Lets's calculate LCM of 26,64,341

2 26, 64, 341
13, 32, 341

∴ So the LCM of the given numbers is 2 x 13 x 32 x 341 = 283712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283712

Therefore, the GCF of Fractions 49/26,53/64,548/341 is 1/283712

Least Common Multiple of 26,64,341 with GCF Formula

Least Common Multiple of 26,64,341 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 26,64,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,64,341) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,64,341) x common factors =1 x 2 = 2

LCM(26,64,341) = ( 26 × 64 × 341 ) / 2

LCM(26,64,341) = 567424 / 2

LCM(26,64,341) = 283712


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 49/26, 53/64, 548/341

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 49/26, 53/64, 548/341?

Answer: GCF of Numerators as per given numbers 49/26, 53/64, 548/341 is

GCF of Numerators i.e. for 49,53,548 is 1

LCM of denominators i.e. for 26,64,341 is 283712.

Thus, GCF of Fractions is 1/283712.Finally, GCF of Fractions for 49/26, 53/64, 548/341 is 1/283712.