How to Find GCF of 6214/975, 2395/5921?

GCF of 6214/975, 2395/5921

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 6214/975, 2395/5921 i.e 1/5772975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6214/975, 2395/5921.

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 6214/975,2395/5921?

Given fractions are 6214/975,2395/5921

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 6214/975,2395/5921, numerators are 6214,2395

Denominators are 975,5921

The GCF of 6214,2395 is 1 .

LCM of 975,5921 is 5772975.

The greatest common factor of 6214/975,2395/5921 = [GCF of 6214,2395]/[LCM of 975,5921]= 1/5772975

Therefore, the GCF of 6214/975,2395/5921 is 1/5772975.

Greatest Common Factor of 6214,2395

To find the highest common factor of 6214,2395, we have to find the factors of both numbers and list the highest common factor.

The factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214

The factors of 2395 are 1, 5, 479, 2395

The HCF of 6214,2395 is 1.

Lets's calculate GCF of 6214,2395

Greatest Common Factor (GCF) of 6214,2395 By Common Division

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

Greatest Common Factor of 6214,2395 By Matching Biggest Common Factor Method

Now, list down the factors of 6214

1,2,13,26,239,478,3107,6214

Now, list down the factors of 2395

1,5,479,2395

Greatest Common Factor

We found the factors 6214,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 6214,2395 is 1.

Lets's calculate LCM of 975,5921

Lowest Common Multiple of 975,5921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5772975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5772975

Therefore, the GCF of Fractions 6214/975,2395/5921 is 1/5772975

Least Common Multiple of 975,5921 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 975,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,5921) = 1

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

GCF(975,5921) x common factors =1 x 1 = 1

LCM(975,5921) = ( 975 × 5921 ) / 1

LCM(975,5921) = 5772975 / 1

LCM(975,5921) = 5772975

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FAQs on GCF of Fractions of 6214/975, 2395/5921

1. What is the HCF of 6214,2395?

The HCF of 6214,2395 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 6214/975, 2395/5921?

Answer: GCF of Numerators as per given numbers 6214/975, 2395/5921 is

GCF of Numerators i.e. for 6214,2395 is 1

LCM of denominators i.e. for 975,5921 is 5772975.

Thus, GCF of Fractions is 1/5772975.Finally, GCF of Fractions for 6214/975, 2395/5921 is 1/5772975.