How to Find GCF of 3020/838, 9157/2364?

GCF of 3020/838, 9157/2364

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 3020/838, 9157/2364 i.e 1/990516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3020/838, 9157/2364.

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 3020/838,9157/2364?

Given fractions are 3020/838,9157/2364

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 3020/838,9157/2364, numerators are 3020,9157

Denominators are 838,2364

The GCF of 3020,9157 is 1 .

LCM of 838,2364 is 990516.

The greatest common factor of 3020/838,9157/2364 = [GCF of 3020,9157]/[LCM of 838,2364]= 1/990516

Therefore, the GCF of 3020/838,9157/2364 is 1/990516.

Greatest Common Factor of 3020,9157

To find the highest common factor of 3020,9157, we have to find the factors of both numbers and list the highest common factor.

The factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020

The factors of 9157 are 1, 9157

The HCF of 3020,9157 is 1.

Lets's calculate GCF of 3020,9157

Greatest Common Factor (GCF) of 3020,9157 By Common Division

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

Greatest Common Factor of 3020,9157 By Matching Biggest Common Factor Method

Now, list down the factors of 3020

1,2,4,5,10,20,151,302,604,755,1510,3020

Now, list down the factors of 9157

1,9157

Greatest Common Factor

We found the factors 3020,9157 . The biggest common factor number is the GCF number.
So the greatest common factor 3020,9157 is 1.

Lets's calculate LCM of 838,2364

Lowest Common Multiple of 838,2364 using Common Division

2	838, 2364
	419, 1182

∴ So the LCM of the given numbers is 2 x 419 x 1182 = 990516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990516

Therefore, the GCF of Fractions 3020/838,9157/2364 is 1/990516

Least Common Multiple of 838,2364 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 838,2364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,2364) = 2

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

GCF(838,2364) x common factors =2 x 1 = 2

LCM(838,2364) = ( 838 × 2364 ) / 2

LCM(838,2364) = 1981032 / 2

LCM(838,2364) = 990516

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FAQs on GCF of Fractions of 3020/838, 9157/2364

1. What is the HCF of 3020,9157?

The HCF of 3020,9157 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 3020/838, 9157/2364?

Answer: GCF of Numerators as per given numbers 3020/838, 9157/2364 is

GCF of Numerators i.e. for 3020,9157 is 1

LCM of denominators i.e. for 838,2364 is 990516.

Thus, GCF of Fractions is 1/990516.Finally, GCF of Fractions for 3020/838, 9157/2364 is 1/990516.