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GCF of 9029/991, 3821/6512

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 9029/991, 3821/6512 i.e 1/6453392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9029/991, 3821/6512.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9029/991,3821/6512?

Given fractions are 9029/991,3821/6512

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 9029/991,3821/6512, numerators are 9029,3821

Denominators are 991,6512

The GCF of 9029,3821 is 1 .

LCM of 991,6512 is 6453392.

The greatest common factor of 9029/991,3821/6512 = [GCF of 9029,3821]/[LCM of 991,6512]= 1/6453392

Therefore, the GCF of 9029/991,3821/6512 is 1/6453392.

Greatest Common Factor of 9029,3821

To find the highest common factor of 9029,3821, we have to find the factors of both numbers and list the highest common factor.

The factors of 9029 are 1, 9029

The factors of 3821 are 1, 3821

The HCF of 9029,3821 is 1.

Lets's calculate GCF of 9029,3821

Greatest Common Factor (GCF) of 9029,3821 By Common Division

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

Greatest Common Factor of 9029,3821 By Matching Biggest Common Factor Method

Greatest Common Factor of 9029,3821 By Matching Biggest Common Factor Method

Now, list down the factors of 9029

:

1,9029

Now, list down the factors of 3821

:

1,3821

Greatest Common Factor

We found the factors 9029,3821 . The biggest common factor number is the GCF number.
So the greatest common factor 9029,3821 is 1.

Lets's calculate LCM of 991,6512

Lowest Common Multiple of 991,6512 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6453392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6453392

Therefore, the GCF of Fractions 9029/991,3821/6512 is 1/6453392

Least Common Multiple of 991,6512 with GCF Formula

Least Common Multiple of 991,6512 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 991,6512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,6512) = 1

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

GCF(991,6512) x common factors =1 x 1 = 1

LCM(991,6512) = ( 991 × 6512 ) / 1

LCM(991,6512) = 6453392 / 1

LCM(991,6512) = 6453392


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FAQs on GCF of Fractions of 9029/991, 3821/6512

1. What is the HCF of 9029,3821?

The HCF of 9029,3821 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 9029/991, 3821/6512?

Answer: GCF of Numerators as per given numbers 9029/991, 3821/6512 is

GCF of Numerators i.e. for 9029,3821 is 1

LCM of denominators i.e. for 991,6512 is 6453392.

Thus, GCF of Fractions is 1/6453392.Finally, GCF of Fractions for 9029/991, 3821/6512 is 1/6453392.