How to Find GCF of 5242/482, 9352/5673?

GCF of 5242/482, 9352/5673

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 5242/482, 9352/5673 i.e 2/2734386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5242/482, 9352/5673.

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 5242/482,9352/5673?

Given fractions are 5242/482,9352/5673

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 5242/482,9352/5673, numerators are 5242,9352

Denominators are 482,5673

The GCF of 5242,9352 is 2 .

LCM of 482,5673 is 2734386.

The greatest common factor of 5242/482,9352/5673 = [GCF of 5242,9352]/[LCM of 482,5673]= 2/2734386

Therefore, the GCF of 5242/482,9352/5673 is 2/2734386.

Greatest Common Factor of 5242,9352

To find the highest common factor of 5242,9352, we have to find the factors of both numbers and list the highest common factor.

The factors of 5242 are 1, 2, 2621, 5242

The factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352

The HCF of 5242,9352 is 2.

Lets's calculate GCF of 5242,9352

Greatest Common Factor (GCF) of 5242,9352 By Common Division

2	5242, 9352
	2621, 4676

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5242,9352 By Matching Biggest Common Factor Method

Now, list down the factors of 5242

1,2,2621,5242

Now, list down the factors of 9352

1,2,4,7,8,14,28,56,167,334,668,1169,1336,2338,4676,9352

Greatest Common Factor

We found the factors 5242,9352 . The biggest common factor number is the GCF number.
So the greatest common factor 5242,9352 is 2.

Lets's calculate LCM of 482,5673

Lowest Common Multiple of 482,5673 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2734386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2734386

Therefore, the GCF of Fractions 5242/482,9352/5673 is 2/2734386

Least Common Multiple of 482,5673 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 482,5673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(482,5673) = 1

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

GCF(482,5673) x common factors =1 x 1 = 1

LCM(482,5673) = ( 482 × 5673 ) / 1

LCM(482,5673) = 2734386 / 1

LCM(482,5673) = 2734386

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FAQs on GCF of Fractions of 5242/482, 9352/5673

1. What is the HCF of 5242,9352?

The HCF of 5242,9352 is 2

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 5242/482, 9352/5673?

Answer: GCF of Numerators as per given numbers 5242/482, 9352/5673 is

GCF of Numerators i.e. for 5242,9352 is 2

LCM of denominators i.e. for 482,5673 is 2734386.

Thus, GCF of Fractions is 2/2734386.Finally, GCF of Fractions for 5242/482, 9352/5673 is 2/2734386.