How to Find GCF of 879/512, 5551/104?

GCF of 879/512, 5551/104

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 879/512, 5551/104 i.e 1/6656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/512, 5551/104.

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 879/512,5551/104?

Given fractions are 879/512,5551/104

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 879/512,5551/104, numerators are 879,5551

Denominators are 512,104

The GCF of 879,5551 is 1 .

LCM of 512,104 is 6656.

The greatest common factor of 879/512,5551/104 = [GCF of 879,5551]/[LCM of 512,104]= 1/6656

Therefore, the GCF of 879/512,5551/104 is 1/6656.

Greatest Common Factor of 879,5551

To find the highest common factor of 879,5551, we have to find the factors of both numbers and list the highest common factor.

The factors of 879 are 1, 3, 293, 879

The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551

The HCF of 879,5551 is 1.

Lets's calculate GCF of 879,5551

Greatest Common Factor (GCF) of 879,5551 By Common Division

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

Greatest Common Factor of 879,5551 By Matching Biggest Common Factor Method

Now, list down the factors of 879

1,3,293,879

Now, list down the factors of 5551

1,7,13,61,91,427,793,5551

Greatest Common Factor

We found the factors 879,5551 . The biggest common factor number is the GCF number.
So the greatest common factor 879,5551 is 1.

Lets's calculate LCM of 512,104

Lowest Common Multiple of 512,104 using Common Division

2	512, 104
2	256, 52
2	128, 26
	64, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 13 = 6656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6656

Therefore, the GCF of Fractions 879/512,5551/104 is 1/6656

Least Common Multiple of 512,104 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 512,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,104) = 8

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

GCF(512,104) x common factors =8 x 1 = 8

LCM(512,104) = ( 512 × 104 ) / 8

LCM(512,104) = 53248 / 8

LCM(512,104) = 6656

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FAQs on GCF of Fractions of 879/512, 5551/104

1. What is the HCF of 879,5551?

The HCF of 879,5551 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 879/512, 5551/104?

Answer: GCF of Numerators as per given numbers 879/512, 5551/104 is

GCF of Numerators i.e. for 879,5551 is 1

LCM of denominators i.e. for 512,104 is 6656.

Thus, GCF of Fractions is 1/6656.Finally, GCF of Fractions for 879/512, 5551/104 is 1/6656.