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GCF of 9920/791, 5656/2719

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 9920/791, 5656/2719 i.e 8/2150729 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9920/791, 5656/2719.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 9920/791,5656/2719?

Given fractions are 9920/791,5656/2719

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 9920/791,5656/2719, numerators are 9920,5656

Denominators are 791,2719

The GCF of 9920,5656 is 8 .

LCM of 791,2719 is 2150729.

The greatest common factor of 9920/791,5656/2719 = [GCF of 9920,5656]/[LCM of 791,2719]= 8/2150729

Therefore, the GCF of 9920/791,5656/2719 is 8/2150729.

Greatest Common Factor of 9920,5656

To find the highest common factor of 9920,5656, we have to find the factors of both numbers and list the highest common factor.

The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920

The factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

The HCF of 9920,5656 is 8.

Lets's calculate GCF of 9920,5656

Greatest Common Factor (GCF) of 9920,5656 By Common Division

2 9920, 5656
2 4960, 2828
2 2480, 1414
1240, 707

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

Greatest Common Factor of 9920,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 9920,5656 By Matching Biggest Common Factor Method

Now, list down the factors of 9920

:

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Now, list down the factors of 5656

:

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 9920,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,5656 is 8.


Lets's calculate LCM of 791,2719

Lowest Common Multiple of 791,2719 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2150729

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2150729

Therefore, the GCF of Fractions 9920/791,5656/2719 is 8/2150729

Least Common Multiple of 791,2719 with GCF Formula

Least Common Multiple of 791,2719 with GCF Formula

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

We need to calculate greatest common factor of 791,2719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,2719) = 1

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

GCF(791,2719) x common factors =1 x 1 = 1

LCM(791,2719) = ( 791 × 2719 ) / 1

LCM(791,2719) = 2150729 / 1

LCM(791,2719) = 2150729


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9920/791, 5656/2719

1. What is the HCF of 9920,5656?

The HCF of 9920,5656 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 9920/791, 5656/2719?

Answer: GCF of Numerators as per given numbers 9920/791, 5656/2719 is

GCF of Numerators i.e. for 9920,5656 is 8

LCM of denominators i.e. for 791,2719 is 2150729.

Thus, GCF of Fractions is 8/2150729.Finally, GCF of Fractions for 9920/791, 5656/2719 is 8/2150729.