How to Find GCF of 1957/241, 8922/1642?

GCF of 1957/241, 8922/1642

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 1957/241, 8922/1642 i.e 1/395722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1957/241, 8922/1642.

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 1957/241,8922/1642?

Given fractions are 1957/241,8922/1642

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 1957/241,8922/1642, numerators are 1957,8922

Denominators are 241,1642

The GCF of 1957,8922 is 1 .

LCM of 241,1642 is 395722.

The greatest common factor of 1957/241,8922/1642 = [GCF of 1957,8922]/[LCM of 241,1642]= 1/395722

Therefore, the GCF of 1957/241,8922/1642 is 1/395722.

Greatest Common Factor of 1957,8922

To find the highest common factor of 1957,8922, we have to find the factors of both numbers and list the highest common factor.

The factors of 1957 are 1, 19, 103, 1957

The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922

The HCF of 1957,8922 is 1.

Lets's calculate GCF of 1957,8922

Greatest Common Factor (GCF) of 1957,8922 By Common Division

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

Greatest Common Factor of 1957,8922 By Matching Biggest Common Factor Method

Now, list down the factors of 1957

1,19,103,1957

Now, list down the factors of 8922

1,2,3,6,1487,2974,4461,8922

Greatest Common Factor

We found the factors 1957,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 1957,8922 is 1.

Lets's calculate LCM of 241,1642

Lowest Common Multiple of 241,1642 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 395722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/395722

Therefore, the GCF of Fractions 1957/241,8922/1642 is 1/395722

Least Common Multiple of 241,1642 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 241,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,1642) = 1

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

GCF(241,1642) x common factors =1 x 1 = 1

LCM(241,1642) = ( 241 × 1642 ) / 1

LCM(241,1642) = 395722 / 1

LCM(241,1642) = 395722

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FAQs on GCF of Fractions of 1957/241, 8922/1642

1. What is the HCF of 1957,8922?

The HCF of 1957,8922 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 1957/241, 8922/1642?

Answer: GCF of Numerators as per given numbers 1957/241, 8922/1642 is

GCF of Numerators i.e. for 1957,8922 is 1

LCM of denominators i.e. for 241,1642 is 395722.

Thus, GCF of Fractions is 1/395722.Finally, GCF of Fractions for 1957/241, 8922/1642 is 1/395722.