How to Find GCF of 5088/870, 6329/360?

GCF of 5088/870, 6329/360

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 5088/870, 6329/360 i.e 1/10440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5088/870, 6329/360.

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 5088/870,6329/360?

Given fractions are 5088/870,6329/360

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 5088/870,6329/360, numerators are 5088,6329

Denominators are 870,360

The GCF of 5088,6329 is 1 .

LCM of 870,360 is 10440.

The greatest common factor of 5088/870,6329/360 = [GCF of 5088,6329]/[LCM of 870,360]= 1/10440

Therefore, the GCF of 5088/870,6329/360 is 1/10440.

Greatest Common Factor of 5088,6329

To find the highest common factor of 5088,6329, we have to find the factors of both numbers and list the highest common factor.

The factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088

The factors of 6329 are 1, 6329

The HCF of 5088,6329 is 1.

Lets's calculate GCF of 5088,6329

Greatest Common Factor (GCF) of 5088,6329 By Common Division

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

Greatest Common Factor of 5088,6329 By Matching Biggest Common Factor Method

Now, list down the factors of 5088

1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088

Now, list down the factors of 6329

1,6329

Greatest Common Factor

We found the factors 5088,6329 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,6329 is 1.

Lets's calculate LCM of 870,360

Lowest Common Multiple of 870,360 using Common Division

2	870, 360
3	435, 180
5	145, 60
	29, 12

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 12 = 10440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10440

Therefore, the GCF of Fractions 5088/870,6329/360 is 1/10440

Least Common Multiple of 870,360 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 870,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,360) = 30

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

GCF(870,360) x common factors =30 x 1 = 30

LCM(870,360) = ( 870 × 360 ) / 30

LCM(870,360) = 313200 / 30

LCM(870,360) = 10440

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FAQs on GCF of Fractions of 5088/870, 6329/360

1. What is the HCF of 5088,6329?

The HCF of 5088,6329 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 5088/870, 6329/360?

Answer: GCF of Numerators as per given numbers 5088/870, 6329/360 is

GCF of Numerators i.e. for 5088,6329 is 1

LCM of denominators i.e. for 870,360 is 10440.

Thus, GCF of Fractions is 1/10440.Finally, GCF of Fractions for 5088/870, 6329/360 is 1/10440.