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GCF of 9886/989, 8791/6932

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 9886/989, 8791/6932 i.e 1/6855748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9886/989, 8791/6932.

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 9886/989,8791/6932?

Given fractions are 9886/989,8791/6932

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 9886/989,8791/6932, numerators are 9886,8791

Denominators are 989,6932

The GCF of 9886,8791 is 1 .

LCM of 989,6932 is 6855748.

The greatest common factor of 9886/989,8791/6932 = [GCF of 9886,8791]/[LCM of 989,6932]= 1/6855748

Therefore, the GCF of 9886/989,8791/6932 is 1/6855748.

Greatest Common Factor of 9886,8791

To find the highest common factor of 9886,8791, we have to find the factors of both numbers and list the highest common factor.

The factors of 9886 are 1, 2, 4943, 9886

The factors of 8791 are 1, 59, 149, 8791

The HCF of 9886,8791 is 1.

Lets's calculate GCF of 9886,8791

Greatest Common Factor (GCF) of 9886,8791 By Common Division

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

Greatest Common Factor of 9886,8791 By Matching Biggest Common Factor Method

Greatest Common Factor of 9886,8791 By Matching Biggest Common Factor Method

Now, list down the factors of 9886

:

1,2,4943,9886

Now, list down the factors of 8791

:

1,59,149,8791

Greatest Common Factor

We found the factors 9886,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 9886,8791 is 1.


Lets's calculate LCM of 989,6932

Lowest Common Multiple of 989,6932 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6855748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6855748

Therefore, the GCF of Fractions 9886/989,8791/6932 is 1/6855748

Least Common Multiple of 989,6932 with GCF Formula

Least Common Multiple of 989,6932 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 989,6932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,6932) = 1

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

GCF(989,6932) x common factors =1 x 1 = 1

LCM(989,6932) = ( 989 × 6932 ) / 1

LCM(989,6932) = 6855748 / 1

LCM(989,6932) = 6855748


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9886/989, 8791/6932

1. What is the HCF of 9886,8791?

The HCF of 9886,8791 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 9886/989, 8791/6932?

Answer: GCF of Numerators as per given numbers 9886/989, 8791/6932 is

GCF of Numerators i.e. for 9886,8791 is 1

LCM of denominators i.e. for 989,6932 is 6855748.

Thus, GCF of Fractions is 1/6855748.Finally, GCF of Fractions for 9886/989, 8791/6932 is 1/6855748.