How to Find GCF of 7982/961, 4475/1936?

GCF of 7982/961, 4475/1936

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 7982/961, 4475/1936 i.e 1/1860496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7982/961, 4475/1936.

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 7982/961,4475/1936?

Given fractions are 7982/961,4475/1936

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 7982/961,4475/1936, numerators are 7982,4475

Denominators are 961,1936

The GCF of 7982,4475 is 1 .

LCM of 961,1936 is 1860496.

The greatest common factor of 7982/961,4475/1936 = [GCF of 7982,4475]/[LCM of 961,1936]= 1/1860496

Therefore, the GCF of 7982/961,4475/1936 is 1/1860496.

Greatest Common Factor of 7982,4475

To find the highest common factor of 7982,4475, we have to find the factors of both numbers and list the highest common factor.

The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982

The factors of 4475 are 1, 5, 25, 179, 895, 4475

The HCF of 7982,4475 is 1.

Lets's calculate GCF of 7982,4475

Greatest Common Factor (GCF) of 7982,4475 By Common Division

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

Greatest Common Factor of 7982,4475 By Matching Biggest Common Factor Method

Now, list down the factors of 7982

1,2,13,26,307,614,3991,7982

Now, list down the factors of 4475

1,5,25,179,895,4475

Greatest Common Factor

We found the factors 7982,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 7982,4475 is 1.

Lets's calculate LCM of 961,1936

Lowest Common Multiple of 961,1936 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1860496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1860496

Therefore, the GCF of Fractions 7982/961,4475/1936 is 1/1860496

Least Common Multiple of 961,1936 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 961,1936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,1936) = 1

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

GCF(961,1936) x common factors =1 x 1 = 1

LCM(961,1936) = ( 961 × 1936 ) / 1

LCM(961,1936) = 1860496 / 1

LCM(961,1936) = 1860496

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FAQs on GCF of Fractions of 7982/961, 4475/1936

1. What is the HCF of 7982,4475?

The HCF of 7982,4475 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 7982/961, 4475/1936?

Answer: GCF of Numerators as per given numbers 7982/961, 4475/1936 is

GCF of Numerators i.e. for 7982,4475 is 1

LCM of denominators i.e. for 961,1936 is 1860496.

Thus, GCF of Fractions is 1/1860496.Finally, GCF of Fractions for 7982/961, 4475/1936 is 1/1860496.