How to Find GCF of 5128/228, 6079/6556?

GCF of 5128/228, 6079/6556

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 5128/228, 6079/6556 i.e 1/373692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5128/228, 6079/6556.

Enter two or more fractions separated by "commas"

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

What is the GCF of 5128/228,6079/6556?

Given fractions are 5128/228,6079/6556

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 5128/228,6079/6556, numerators are 5128,6079

Denominators are 228,6556

The GCF of 5128,6079 is 1 .

LCM of 228,6556 is 373692.

The greatest common factor of 5128/228,6079/6556 = [GCF of 5128,6079]/[LCM of 228,6556]= 1/373692

Therefore, the GCF of 5128/228,6079/6556 is 1/373692.

Greatest Common Factor of 5128,6079

To find the highest common factor of 5128,6079, we have to find the factors of both numbers and list the highest common factor.

The factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128

The factors of 6079 are 1, 6079

The HCF of 5128,6079 is 1.

Lets's calculate GCF of 5128,6079

Greatest Common Factor (GCF) of 5128,6079 By Common Division

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

Greatest Common Factor of 5128,6079 By Matching Biggest Common Factor Method

Now, list down the factors of 5128

1,2,4,8,641,1282,2564,5128

Now, list down the factors of 6079

1,6079

Greatest Common Factor

We found the factors 5128,6079 . The biggest common factor number is the GCF number.
So the greatest common factor 5128,6079 is 1.

Lets's calculate LCM of 228,6556

Lowest Common Multiple of 228,6556 using Common Division

2	228, 6556
2	114, 3278
	57, 1639

∴ So the LCM of the given numbers is 2 x 2 x 57 x 1639 = 373692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373692

Therefore, the GCF of Fractions 5128/228,6079/6556 is 1/373692

Least Common Multiple of 228,6556 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 228,6556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,6556) = 4

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

GCF(228,6556) x common factors =4 x 1 = 4

LCM(228,6556) = ( 228 × 6556 ) / 4

LCM(228,6556) = 1494768 / 4

LCM(228,6556) = 373692

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5128/228, 6079/6556

1. What is the HCF of 5128,6079?

The HCF of 5128,6079 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 5128/228, 6079/6556?

Answer: GCF of Numerators as per given numbers 5128/228, 6079/6556 is

GCF of Numerators i.e. for 5128,6079 is 1

LCM of denominators i.e. for 228,6556 is 373692.

Thus, GCF of Fractions is 1/373692.Finally, GCF of Fractions for 5128/228, 6079/6556 is 1/373692.