How to Find GCF of 6135/989, 4822/6329?

GCF of 6135/989, 4822/6329

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 6135/989, 4822/6329 i.e 1/6259381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6135/989, 4822/6329.

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 6135/989,4822/6329?

Given fractions are 6135/989,4822/6329

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 6135/989,4822/6329, numerators are 6135,4822

Denominators are 989,6329

The GCF of 6135,4822 is 1 .

LCM of 989,6329 is 6259381.

The greatest common factor of 6135/989,4822/6329 = [GCF of 6135,4822]/[LCM of 989,6329]= 1/6259381

Therefore, the GCF of 6135/989,4822/6329 is 1/6259381.

Greatest Common Factor of 6135,4822

To find the highest common factor of 6135,4822, we have to find the factors of both numbers and list the highest common factor.

The factors of 6135 are 1, 3, 5, 15, 409, 1227, 2045, 6135

The factors of 4822 are 1, 2, 2411, 4822

The HCF of 6135,4822 is 1.

Lets's calculate GCF of 6135,4822

Greatest Common Factor (GCF) of 6135,4822 By Common Division

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

Greatest Common Factor of 6135,4822 By Matching Biggest Common Factor Method

Now, list down the factors of 6135

1,3,5,15,409,1227,2045,6135

Now, list down the factors of 4822

1,2,2411,4822

Greatest Common Factor

We found the factors 6135,4822 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,4822 is 1.

Lets's calculate LCM of 989,6329

Lowest Common Multiple of 989,6329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6259381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6259381

Therefore, the GCF of Fractions 6135/989,4822/6329 is 1/6259381

Least Common Multiple of 989,6329 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 989,6329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,6329) = 1

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

GCF(989,6329) x common factors =1 x 1 = 1

LCM(989,6329) = ( 989 × 6329 ) / 1

LCM(989,6329) = 6259381 / 1

LCM(989,6329) = 6259381

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FAQs on GCF of Fractions of 6135/989, 4822/6329

1. What is the HCF of 6135,4822?

The HCF of 6135,4822 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 6135/989, 4822/6329?

Answer: GCF of Numerators as per given numbers 6135/989, 4822/6329 is

GCF of Numerators i.e. for 6135,4822 is 1

LCM of denominators i.e. for 989,6329 is 6259381.

Thus, GCF of Fractions is 1/6259381.Finally, GCF of Fractions for 6135/989, 4822/6329 is 1/6259381.