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GCF of 110/86, 100/113

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 110/86, 100/113 i.e 10/9718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/86, 100/113.

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 110/86,100/113?

Given fractions are 110/86,100/113

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 110/86,100/113, numerators are 110,100

Denominators are 86,113

The GCF of 110,100 is 10 .

LCM of 86,113 is 9718.

The greatest common factor of 110/86,100/113 = [GCF of 110,100]/[LCM of 86,113]= 10/9718

Therefore, the GCF of 110/86,100/113 is 10/9718.

Greatest Common Factor of 110,100

To find the highest common factor of 110,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 110,100 is 10.

Lets's calculate GCF of 110,100

Greatest Common Factor (GCF) of 110,100 By Common Division

2 110, 100
5 55, 50
11, 10

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 110,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,100 By Matching Biggest Common Factor Method

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 110,100 . The biggest common factor number is the GCF number.
So the greatest common factor 110,100 is 10.

Lets's calculate LCM of 86,113

Lowest Common Multiple of 86,113 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/9718

Therefore, the GCF of Fractions 110/86,100/113 is 10/9718

Least Common Multiple of 86,113 with GCF Formula

Least Common Multiple of 86,113 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 86,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,113) = 1

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

GCF(86,113) x common factors =1 x 1 = 1

LCM(86,113) = ( 86 × 113 ) / 1

LCM(86,113) = 9718 / 1

LCM(86,113) = 9718


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FAQs on GCF of Fractions of 110/86, 100/113

1. What is the HCF of 110,100?

The HCF of 110,100 is 10

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 110/86, 100/113?

Answer: GCF of Numerators as per given numbers 110/86, 100/113 is

GCF of Numerators i.e. for 110,100 is 10

LCM of denominators i.e. for 86,113 is 9718.

Thus, GCF of Fractions is 10/9718.Finally, GCF of Fractions for 110/86, 100/113 is 10/9718.