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GCF of 90/113, 5114/4022

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 90/113, 5114/4022 i.e 2/454486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/113, 5114/4022.

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 90/113,5114/4022?

Given fractions are 90/113,5114/4022

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 90/113,5114/4022, numerators are 90,5114

Denominators are 113,4022

The GCF of 90,5114 is 2 .

LCM of 113,4022 is 454486.

The greatest common factor of 90/113,5114/4022 = [GCF of 90,5114]/[LCM of 113,4022]= 2/454486

Therefore, the GCF of 90/113,5114/4022 is 2/454486.

Greatest Common Factor of 90,5114

To find the highest common factor of 90,5114, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 5114 are 1, 2, 2557, 5114

The HCF of 90,5114 is 2.

Lets's calculate GCF of 90,5114

Greatest Common Factor (GCF) of 90,5114 By Common Division

2 90, 5114
45, 2557

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

Greatest Common Factor of 90,5114 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5114 By Matching Biggest Common Factor Method

Now, list down the factors of 90

:

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 5114

:

1,2,2557,5114

Greatest Common Factor

We found the factors 90,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5114 is 2.

Lets's calculate LCM of 113,4022

Lowest Common Multiple of 113,4022 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 454486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/454486

Therefore, the GCF of Fractions 90/113,5114/4022 is 2/454486

Least Common Multiple of 113,4022 with GCF Formula

Least Common Multiple of 113,4022 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 113,4022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,4022) = 1

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

GCF(113,4022) x common factors =1 x 1 = 1

LCM(113,4022) = ( 113 × 4022 ) / 1

LCM(113,4022) = 454486 / 1

LCM(113,4022) = 454486


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FAQs on GCF of Fractions of 90/113, 5114/4022

1. What is the HCF of 90,5114?

The HCF of 90,5114 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 90/113, 5114/4022?

Answer: GCF of Numerators as per given numbers 90/113, 5114/4022 is

GCF of Numerators i.e. for 90,5114 is 2

LCM of denominators i.e. for 113,4022 is 454486.

Thus, GCF of Fractions is 2/454486.Finally, GCF of Fractions for 90/113, 5114/4022 is 2/454486.