How to Find GCF of 9656/400, 5160/4167?

GCF of 9656/400, 5160/4167

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 9656/400, 5160/4167 i.e 8/1666800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9656/400, 5160/4167.

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 9656/400,5160/4167?

Given fractions are 9656/400,5160/4167

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 9656/400,5160/4167, numerators are 9656,5160

Denominators are 400,4167

The GCF of 9656,5160 is 8 .

LCM of 400,4167 is 1666800.

The greatest common factor of 9656/400,5160/4167 = [GCF of 9656,5160]/[LCM of 400,4167]= 8/1666800

Therefore, the GCF of 9656/400,5160/4167 is 8/1666800.

Greatest Common Factor of 9656,5160

To find the highest common factor of 9656,5160, we have to find the factors of both numbers and list the highest common factor.

The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656

The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160

The HCF of 9656,5160 is 8.

Lets's calculate GCF of 9656,5160

Greatest Common Factor (GCF) of 9656,5160 By Common Division

2	9656, 5160
2	4828, 2580
2	2414, 1290
	1207, 645

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9656,5160 By Matching Biggest Common Factor Method

Now, list down the factors of 9656

1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656

Now, list down the factors of 5160

1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160

Greatest Common Factor

We found the factors 9656,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,5160 is 8.

Lets's calculate LCM of 400,4167

Lowest Common Multiple of 400,4167 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1666800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1666800

Therefore, the GCF of Fractions 9656/400,5160/4167 is 8/1666800

Least Common Multiple of 400,4167 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 400,4167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,4167) = 1

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

GCF(400,4167) x common factors =1 x 1 = 1

LCM(400,4167) = ( 400 × 4167 ) / 1

LCM(400,4167) = 1666800 / 1

LCM(400,4167) = 1666800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9656/400, 5160/4167

1. What is the HCF of 9656,5160?

The HCF of 9656,5160 is 8

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 9656/400, 5160/4167?

Answer: GCF of Numerators as per given numbers 9656/400, 5160/4167 is

GCF of Numerators i.e. for 9656,5160 is 8

LCM of denominators i.e. for 400,4167 is 1666800.

Thus, GCF of Fractions is 8/1666800.Finally, GCF of Fractions for 9656/400, 5160/4167 is 8/1666800.