How to Find GCF of 2425/315, 6821/5498?

GCF of 2425/315, 6821/5498

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 2425/315, 6821/5498 i.e 1/1731870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2425/315, 6821/5498.

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 2425/315,6821/5498?

Given fractions are 2425/315,6821/5498

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 2425/315,6821/5498, numerators are 2425,6821

Denominators are 315,5498

The GCF of 2425,6821 is 1 .

LCM of 315,5498 is 1731870.

The greatest common factor of 2425/315,6821/5498 = [GCF of 2425,6821]/[LCM of 315,5498]= 1/1731870

Therefore, the GCF of 2425/315,6821/5498 is 1/1731870.

Greatest Common Factor of 2425,6821

To find the highest common factor of 2425,6821, we have to find the factors of both numbers and list the highest common factor.

The factors of 2425 are 1, 5, 25, 97, 485, 2425

The factors of 6821 are 1, 19, 359, 6821

The HCF of 2425,6821 is 1.

Lets's calculate GCF of 2425,6821

Greatest Common Factor (GCF) of 2425,6821 By Common Division

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

Greatest Common Factor of 2425,6821 By Matching Biggest Common Factor Method

Now, list down the factors of 2425

1,5,25,97,485,2425

Now, list down the factors of 6821

1,19,359,6821

Greatest Common Factor

We found the factors 2425,6821 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,6821 is 1.

Lets's calculate LCM of 315,5498

Lowest Common Multiple of 315,5498 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1731870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1731870

Therefore, the GCF of Fractions 2425/315,6821/5498 is 1/1731870

Least Common Multiple of 315,5498 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 315,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,5498) = 1

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

GCF(315,5498) x common factors =1 x 1 = 1

LCM(315,5498) = ( 315 × 5498 ) / 1

LCM(315,5498) = 1731870 / 1

LCM(315,5498) = 1731870

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FAQs on GCF of Fractions of 2425/315, 6821/5498

1. What is the HCF of 2425,6821?

The HCF of 2425,6821 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 2425/315, 6821/5498?

Answer: GCF of Numerators as per given numbers 2425/315, 6821/5498 is

GCF of Numerators i.e. for 2425,6821 is 1

LCM of denominators i.e. for 315,5498 is 1731870.

Thus, GCF of Fractions is 1/1731870.Finally, GCF of Fractions for 2425/315, 6821/5498 is 1/1731870.