How to Find GCF of 3021/524, 5527/7016?

GCF of 3021/524, 5527/7016

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 3021/524, 5527/7016 i.e 1/919096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3021/524, 5527/7016.

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 3021/524,5527/7016?

Given fractions are 3021/524,5527/7016

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 3021/524,5527/7016, numerators are 3021,5527

Denominators are 524,7016

The GCF of 3021,5527 is 1 .

LCM of 524,7016 is 919096.

The greatest common factor of 3021/524,5527/7016 = [GCF of 3021,5527]/[LCM of 524,7016]= 1/919096

Therefore, the GCF of 3021/524,5527/7016 is 1/919096.

Greatest Common Factor of 3021,5527

To find the highest common factor of 3021,5527, we have to find the factors of both numbers and list the highest common factor.

The factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021

The factors of 5527 are 1, 5527

The HCF of 3021,5527 is 1.

Lets's calculate GCF of 3021,5527

Greatest Common Factor (GCF) of 3021,5527 By Common Division

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

Greatest Common Factor of 3021,5527 By Matching Biggest Common Factor Method

Now, list down the factors of 3021

1,3,19,53,57,159,1007,3021

Now, list down the factors of 5527

1,5527

Greatest Common Factor

We found the factors 3021,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,5527 is 1.

Lets's calculate LCM of 524,7016

Lowest Common Multiple of 524,7016 using Common Division

2	524, 7016
2	262, 3508
	131, 1754

∴ So the LCM of the given numbers is 2 x 2 x 131 x 1754 = 919096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/919096

Therefore, the GCF of Fractions 3021/524,5527/7016 is 1/919096

Least Common Multiple of 524,7016 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 524,7016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,7016) = 4

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

GCF(524,7016) x common factors =4 x 1 = 4

LCM(524,7016) = ( 524 × 7016 ) / 4

LCM(524,7016) = 3676384 / 4

LCM(524,7016) = 919096

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FAQs on GCF of Fractions of 3021/524, 5527/7016

1. What is the HCF of 3021,5527?

The HCF of 3021,5527 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 3021/524, 5527/7016?

Answer: GCF of Numerators as per given numbers 3021/524, 5527/7016 is

GCF of Numerators i.e. for 3021,5527 is 1

LCM of denominators i.e. for 524,7016 is 919096.

Thus, GCF of Fractions is 1/919096.Finally, GCF of Fractions for 3021/524, 5527/7016 is 1/919096.