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GCF of 242/66, 638/752

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 242/66, 638/752 i.e 22/24816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/66, 638/752.

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 242/66,638/752?

Given fractions are 242/66,638/752

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 242/66,638/752, numerators are 242,638

Denominators are 66,752

The GCF of 242,638 is 22 .

LCM of 66,752 is 24816.

The greatest common factor of 242/66,638/752 = [GCF of 242,638]/[LCM of 66,752]= 22/24816

Therefore, the GCF of 242/66,638/752 is 22/24816.

Greatest Common Factor of 242,638

To find the highest common factor of 242,638, we have to find the factors of both numbers and list the highest common factor.

The factors of 242 are 1, 2, 11, 22, 121, 242

The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638

The HCF of 242,638 is 22.

Lets's calculate GCF of 242,638

Greatest Common Factor (GCF) of 242,638 By Common Division

2 242, 638
11 121, 319
11, 29

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 242,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,638 By Matching Biggest Common Factor Method

Now, list down the factors of 242

:

1,2,11,22,121,242

Now, list down the factors of 638

:

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 242,638 . The biggest common factor number is the GCF number.
So the greatest common factor 242,638 is 22.

Lets's calculate LCM of 66,752

Lowest Common Multiple of 66,752 using Common Division

2 66, 752
33, 376

∴ So the LCM of the given numbers is 2 x 33 x 376 = 24816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/24816

Therefore, the GCF of Fractions 242/66,638/752 is 22/24816

Least Common Multiple of 66,752 with GCF Formula

Least Common Multiple of 66,752 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 66,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,752) = 2

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

GCF(66,752) x common factors =2 x 1 = 2

LCM(66,752) = ( 66 × 752 ) / 2

LCM(66,752) = 49632 / 2

LCM(66,752) = 24816


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FAQs on GCF of Fractions of 242/66, 638/752

1. What is the HCF of 242,638?

The HCF of 242,638 is 22

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 242/66, 638/752?

Answer: GCF of Numerators as per given numbers 242/66, 638/752 is

GCF of Numerators i.e. for 242,638 is 22

LCM of denominators i.e. for 66,752 is 24816.

Thus, GCF of Fractions is 22/24816.Finally, GCF of Fractions for 242/66, 638/752 is 22/24816.