How to Find GCF of 5366/151, 3127/4203?

GCF of 5366/151, 3127/4203

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 5366/151, 3127/4203 i.e 1/634653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5366/151, 3127/4203.

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 5366/151,3127/4203?

Given fractions are 5366/151,3127/4203

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 5366/151,3127/4203, numerators are 5366,3127

Denominators are 151,4203

The GCF of 5366,3127 is 1 .

LCM of 151,4203 is 634653.

The greatest common factor of 5366/151,3127/4203 = [GCF of 5366,3127]/[LCM of 151,4203]= 1/634653

Therefore, the GCF of 5366/151,3127/4203 is 1/634653.

Greatest Common Factor of 5366,3127

To find the highest common factor of 5366,3127, we have to find the factors of both numbers and list the highest common factor.

The factors of 5366 are 1, 2, 2683, 5366

The factors of 3127 are 1, 53, 59, 3127

The HCF of 5366,3127 is 1.

Lets's calculate GCF of 5366,3127

Greatest Common Factor (GCF) of 5366,3127 By Common Division

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

Greatest Common Factor of 5366,3127 By Matching Biggest Common Factor Method

Now, list down the factors of 5366

1,2,2683,5366

Now, list down the factors of 3127

1,53,59,3127

Greatest Common Factor

We found the factors 5366,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 5366,3127 is 1.

Lets's calculate LCM of 151,4203

Lowest Common Multiple of 151,4203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 634653

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634653

Therefore, the GCF of Fractions 5366/151,3127/4203 is 1/634653

Least Common Multiple of 151,4203 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 151,4203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,4203) = 1

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

GCF(151,4203) x common factors =1 x 1 = 1

LCM(151,4203) = ( 151 × 4203 ) / 1

LCM(151,4203) = 634653 / 1

LCM(151,4203) = 634653

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FAQs on GCF of Fractions of 5366/151, 3127/4203

1. What is the HCF of 5366,3127?

The HCF of 5366,3127 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 5366/151, 3127/4203?

Answer: GCF of Numerators as per given numbers 5366/151, 3127/4203 is

GCF of Numerators i.e. for 5366,3127 is 1

LCM of denominators i.e. for 151,4203 is 634653.

Thus, GCF of Fractions is 1/634653.Finally, GCF of Fractions for 5366/151, 3127/4203 is 1/634653.