How to Find GCF of 2984/113, 5975/2653?

GCF of 2984/113, 5975/2653

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 2984/113, 5975/2653 i.e 1/299789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2984/113, 5975/2653.

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 2984/113,5975/2653?

Given fractions are 2984/113,5975/2653

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 2984/113,5975/2653, numerators are 2984,5975

Denominators are 113,2653

The GCF of 2984,5975 is 1 .

LCM of 113,2653 is 299789.

The greatest common factor of 2984/113,5975/2653 = [GCF of 2984,5975]/[LCM of 113,2653]= 1/299789

Therefore, the GCF of 2984/113,5975/2653 is 1/299789.

Greatest Common Factor of 2984,5975

To find the highest common factor of 2984,5975, we have to find the factors of both numbers and list the highest common factor.

The factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984

The factors of 5975 are 1, 5, 25, 239, 1195, 5975

The HCF of 2984,5975 is 1.

Lets's calculate GCF of 2984,5975

Greatest Common Factor (GCF) of 2984,5975 By Common Division

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

Greatest Common Factor of 2984,5975 By Matching Biggest Common Factor Method

Now, list down the factors of 2984

1,2,4,8,373,746,1492,2984

Now, list down the factors of 5975

1,5,25,239,1195,5975

Greatest Common Factor

We found the factors 2984,5975 . The biggest common factor number is the GCF number.
So the greatest common factor 2984,5975 is 1.

Lets's calculate LCM of 113,2653

Lowest Common Multiple of 113,2653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 299789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299789

Therefore, the GCF of Fractions 2984/113,5975/2653 is 1/299789

Least Common Multiple of 113,2653 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 113,2653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,2653) = 1

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

GCF(113,2653) x common factors =1 x 1 = 1

LCM(113,2653) = ( 113 × 2653 ) / 1

LCM(113,2653) = 299789 / 1

LCM(113,2653) = 299789

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FAQs on GCF of Fractions of 2984/113, 5975/2653

1. What is the HCF of 2984,5975?

The HCF of 2984,5975 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 2984/113, 5975/2653?

Answer: GCF of Numerators as per given numbers 2984/113, 5975/2653 is

GCF of Numerators i.e. for 2984,5975 is 1

LCM of denominators i.e. for 113,2653 is 299789.

Thus, GCF of Fractions is 1/299789.Finally, GCF of Fractions for 2984/113, 5975/2653 is 1/299789.