How to Find GCF of 5359/909, 1976/3122?

GCF of 5359/909, 1976/3122

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 5359/909, 1976/3122 i.e 1/2837898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5359/909, 1976/3122.

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 5359/909,1976/3122?

Given fractions are 5359/909,1976/3122

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 5359/909,1976/3122, numerators are 5359,1976

Denominators are 909,3122

The GCF of 5359,1976 is 1 .

LCM of 909,3122 is 2837898.

The greatest common factor of 5359/909,1976/3122 = [GCF of 5359,1976]/[LCM of 909,3122]= 1/2837898

Therefore, the GCF of 5359/909,1976/3122 is 1/2837898.

Greatest Common Factor of 5359,1976

To find the highest common factor of 5359,1976, we have to find the factors of both numbers and list the highest common factor.

The factors of 5359 are 1, 23, 233, 5359

The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976

The HCF of 5359,1976 is 1.

Lets's calculate GCF of 5359,1976

Greatest Common Factor (GCF) of 5359,1976 By Common Division

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

Greatest Common Factor of 5359,1976 By Matching Biggest Common Factor Method

Now, list down the factors of 5359

1,23,233,5359

Now, list down the factors of 1976

1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976

Greatest Common Factor

We found the factors 5359,1976 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,1976 is 1.

Lets's calculate LCM of 909,3122

Lowest Common Multiple of 909,3122 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2837898

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2837898

Therefore, the GCF of Fractions 5359/909,1976/3122 is 1/2837898

Least Common Multiple of 909,3122 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 909,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,3122) = 1

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

GCF(909,3122) x common factors =1 x 1 = 1

LCM(909,3122) = ( 909 × 3122 ) / 1

LCM(909,3122) = 2837898 / 1

LCM(909,3122) = 2837898

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FAQs on GCF of Fractions of 5359/909, 1976/3122

1. What is the HCF of 5359,1976?

The HCF of 5359,1976 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 5359/909, 1976/3122?

Answer: GCF of Numerators as per given numbers 5359/909, 1976/3122 is

GCF of Numerators i.e. for 5359,1976 is 1

LCM of denominators i.e. for 909,3122 is 2837898.

Thus, GCF of Fractions is 1/2837898.Finally, GCF of Fractions for 5359/909, 1976/3122 is 1/2837898.