How to Find GCF of 2413/629, 4951/5924?

GCF of 2413/629, 4951/5924

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 2413/629, 4951/5924 i.e 1/3726196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2413/629, 4951/5924.

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 2413/629,4951/5924?

Given fractions are 2413/629,4951/5924

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 2413/629,4951/5924, numerators are 2413,4951

Denominators are 629,5924

The GCF of 2413,4951 is 1 .

LCM of 629,5924 is 3726196.

The greatest common factor of 2413/629,4951/5924 = [GCF of 2413,4951]/[LCM of 629,5924]= 1/3726196

Therefore, the GCF of 2413/629,4951/5924 is 1/3726196.

Greatest Common Factor of 2413,4951

To find the highest common factor of 2413,4951, we have to find the factors of both numbers and list the highest common factor.

The factors of 2413 are 1, 19, 127, 2413

The factors of 4951 are 1, 4951

The HCF of 2413,4951 is 1.

Lets's calculate GCF of 2413,4951

Greatest Common Factor (GCF) of 2413,4951 By Common Division

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

Greatest Common Factor of 2413,4951 By Matching Biggest Common Factor Method

Now, list down the factors of 2413

1,19,127,2413

Now, list down the factors of 4951

1,4951

Greatest Common Factor

We found the factors 2413,4951 . The biggest common factor number is the GCF number.
So the greatest common factor 2413,4951 is 1.

Lets's calculate LCM of 629,5924

Lowest Common Multiple of 629,5924 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3726196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3726196

Therefore, the GCF of Fractions 2413/629,4951/5924 is 1/3726196

Least Common Multiple of 629,5924 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 629,5924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,5924) = 1

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

GCF(629,5924) x common factors =1 x 1 = 1

LCM(629,5924) = ( 629 × 5924 ) / 1

LCM(629,5924) = 3726196 / 1

LCM(629,5924) = 3726196

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FAQs on GCF of Fractions of 2413/629, 4951/5924

1. What is the HCF of 2413,4951?

The HCF of 2413,4951 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 2413/629, 4951/5924?

Answer: GCF of Numerators as per given numbers 2413/629, 4951/5924 is

GCF of Numerators i.e. for 2413,4951 is 1

LCM of denominators i.e. for 629,5924 is 3726196.

Thus, GCF of Fractions is 1/3726196.Finally, GCF of Fractions for 2413/629, 4951/5924 is 1/3726196.