How to Find GCF of 660/26, 520/6379?

GCF of 660/26, 520/6379

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 660/26, 520/6379 i.e 20/165854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/26, 520/6379.

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 660/26,520/6379?

Given fractions are 660/26,520/6379

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 660/26,520/6379, numerators are 660,520

Denominators are 26,6379

The GCF of 660,520 is 20 .

LCM of 26,6379 is 165854.

The greatest common factor of 660/26,520/6379 = [GCF of 660,520]/[LCM of 26,6379]= 20/165854

Therefore, the GCF of 660/26,520/6379 is 20/165854.

Greatest Common Factor of 660,520

To find the highest common factor of 660,520, we have to find the factors of both numbers and list the highest common factor.

The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 660,520 is 20.

Lets's calculate GCF of 660,520

Greatest Common Factor (GCF) of 660,520 By Common Division

2	660, 520
2	330, 260
5	165, 130
	33, 26

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 660,520 By Matching Biggest Common Factor Method

Now, list down the factors of 660

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Now, list down the factors of 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 660,520 . The biggest common factor number is the GCF number.
So the greatest common factor 660,520 is 20.

Lets's calculate LCM of 26,6379

Lowest Common Multiple of 26,6379 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 165854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/165854

Therefore, the GCF of Fractions 660/26,520/6379 is 20/165854

Least Common Multiple of 26,6379 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 26,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,6379) = 1

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

GCF(26,6379) x common factors =1 x 1 = 1

LCM(26,6379) = ( 26 × 6379 ) / 1

LCM(26,6379) = 165854 / 1

LCM(26,6379) = 165854

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FAQs on GCF of Fractions of 660/26, 520/6379

1. What is the HCF of 660,520?

The HCF of 660,520 is 20

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 660/26, 520/6379?

Answer: GCF of Numerators as per given numbers 660/26, 520/6379 is

GCF of Numerators i.e. for 660,520 is 20

LCM of denominators i.e. for 26,6379 is 165854.

Thus, GCF of Fractions is 20/165854.Finally, GCF of Fractions for 660/26, 520/6379 is 20/165854.