How to Find GCF of 5222/881, 7660/6396?

GCF of 5222/881, 7660/6396

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 5222/881, 7660/6396 i.e 2/5634876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5222/881, 7660/6396.

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 5222/881,7660/6396?

Given fractions are 5222/881,7660/6396

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 5222/881,7660/6396, numerators are 5222,7660

Denominators are 881,6396

The GCF of 5222,7660 is 2 .

LCM of 881,6396 is 5634876.

The greatest common factor of 5222/881,7660/6396 = [GCF of 5222,7660]/[LCM of 881,6396]= 2/5634876

Therefore, the GCF of 5222/881,7660/6396 is 2/5634876.

Greatest Common Factor of 5222,7660

To find the highest common factor of 5222,7660, we have to find the factors of both numbers and list the highest common factor.

The factors of 5222 are 1, 2, 7, 14, 373, 746, 2611, 5222

The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660

The HCF of 5222,7660 is 2.

Lets's calculate GCF of 5222,7660

Greatest Common Factor (GCF) of 5222,7660 By Common Division

2	5222, 7660
	2611, 3830

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

Greatest Common Factor of 5222,7660 By Matching Biggest Common Factor Method

Now, list down the factors of 5222

1,2,7,14,373,746,2611,5222

Now, list down the factors of 7660

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Greatest Common Factor

We found the factors 5222,7660 . The biggest common factor number is the GCF number.
So the greatest common factor 5222,7660 is 2.

Lets's calculate LCM of 881,6396

Lowest Common Multiple of 881,6396 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5634876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5634876

Therefore, the GCF of Fractions 5222/881,7660/6396 is 2/5634876

Least Common Multiple of 881,6396 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 881,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,6396) = 1

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

GCF(881,6396) x common factors =1 x 1 = 1

LCM(881,6396) = ( 881 × 6396 ) / 1

LCM(881,6396) = 5634876 / 1

LCM(881,6396) = 5634876

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FAQs on GCF of Fractions of 5222/881, 7660/6396

1. What is the HCF of 5222,7660?

The HCF of 5222,7660 is 2

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 5222/881, 7660/6396?

Answer: GCF of Numerators as per given numbers 5222/881, 7660/6396 is

GCF of Numerators i.e. for 5222,7660 is 2

LCM of denominators i.e. for 881,6396 is 5634876.

Thus, GCF of Fractions is 2/5634876.Finally, GCF of Fractions for 5222/881, 7660/6396 is 2/5634876.