How to Find GCF of 7244/392, 4197/5024?

GCF of 7244/392, 4197/5024

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 7244/392, 4197/5024 i.e 1/246176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7244/392, 4197/5024.

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 7244/392,4197/5024?

Given fractions are 7244/392,4197/5024

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 7244/392,4197/5024, numerators are 7244,4197

Denominators are 392,5024

The GCF of 7244,4197 is 1 .

LCM of 392,5024 is 246176.

The greatest common factor of 7244/392,4197/5024 = [GCF of 7244,4197]/[LCM of 392,5024]= 1/246176

Therefore, the GCF of 7244/392,4197/5024 is 1/246176.

Greatest Common Factor of 7244,4197

To find the highest common factor of 7244,4197, we have to find the factors of both numbers and list the highest common factor.

The factors of 7244 are 1, 2, 4, 1811, 3622, 7244

The factors of 4197 are 1, 3, 1399, 4197

The HCF of 7244,4197 is 1.

Lets's calculate GCF of 7244,4197

Greatest Common Factor (GCF) of 7244,4197 By Common Division

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

Greatest Common Factor of 7244,4197 By Matching Biggest Common Factor Method

Now, list down the factors of 7244

1,2,4,1811,3622,7244

Now, list down the factors of 4197

1,3,1399,4197

Greatest Common Factor

We found the factors 7244,4197 . The biggest common factor number is the GCF number.
So the greatest common factor 7244,4197 is 1.

Lets's calculate LCM of 392,5024

Lowest Common Multiple of 392,5024 using Common Division

2	392, 5024
2	196, 2512
2	98, 1256
	49, 628

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 628 = 246176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246176

Therefore, the GCF of Fractions 7244/392,4197/5024 is 1/246176

Least Common Multiple of 392,5024 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 392,5024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,5024) = 8

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

GCF(392,5024) x common factors =8 x 1 = 8

LCM(392,5024) = ( 392 × 5024 ) / 8

LCM(392,5024) = 1969408 / 8

LCM(392,5024) = 246176

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FAQs on GCF of Fractions of 7244/392, 4197/5024

1. What is the HCF of 7244,4197?

The HCF of 7244,4197 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 7244/392, 4197/5024?

Answer: GCF of Numerators as per given numbers 7244/392, 4197/5024 is

GCF of Numerators i.e. for 7244,4197 is 1

LCM of denominators i.e. for 392,5024 is 246176.

Thus, GCF of Fractions is 1/246176.Finally, GCF of Fractions for 7244/392, 4197/5024 is 1/246176.