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GCF of 544/26, 256/284

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 544/26, 256/284 i.e 32/3692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/26, 256/284.

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 544/26,256/284?

Given fractions are 544/26,256/284

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 544/26,256/284, numerators are 544,256

Denominators are 26,284

The GCF of 544,256 is 32 .

LCM of 26,284 is 3692.

The greatest common factor of 544/26,256/284 = [GCF of 544,256]/[LCM of 26,284]= 32/3692

Therefore, the GCF of 544/26,256/284 is 32/3692.

Greatest Common Factor of 544,256

To find the highest common factor of 544,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 544,256 is 32.

Lets's calculate GCF of 544,256

Greatest Common Factor (GCF) of 544,256 By Common Division

2 544, 256
2 272, 128
2 136, 64
2 68, 32
2 34, 16
17, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 544,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,256 By Matching Biggest Common Factor Method

Now, list down the factors of 544

:

1,2,4,8,16,17,32,34,68,136,272,544

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 544,256 . The biggest common factor number is the GCF number.
So the greatest common factor 544,256 is 32.

Lets's calculate LCM of 26,284

Lowest Common Multiple of 26,284 using Common Division

2 26, 284
13, 142

∴ So the LCM of the given numbers is 2 x 13 x 142 = 3692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/3692

Therefore, the GCF of Fractions 544/26,256/284 is 32/3692

Least Common Multiple of 26,284 with GCF Formula

Least Common Multiple of 26,284 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 26,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,284) = 2

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

GCF(26,284) x common factors =2 x 1 = 2

LCM(26,284) = ( 26 × 284 ) / 2

LCM(26,284) = 7384 / 2

LCM(26,284) = 3692


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FAQs on GCF of Fractions of 544/26, 256/284

1. What is the HCF of 544,256?

The HCF of 544,256 is 32

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 544/26, 256/284?

Answer: GCF of Numerators as per given numbers 544/26, 256/284 is

GCF of Numerators i.e. for 544,256 is 32

LCM of denominators i.e. for 26,284 is 3692.

Thus, GCF of Fractions is 32/3692.Finally, GCF of Fractions for 544/26, 256/284 is 32/3692.