How to Find GCF of 381/296, 122/264?

GCF of 381/296, 122/264

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 381/296, 122/264 i.e 1/9768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 381/296, 122/264.

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 381/296,122/264?

Given fractions are 381/296,122/264

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 381/296,122/264, numerators are 381,122

Denominators are 296,264

The GCF of 381,122 is 1 .

LCM of 296,264 is 9768.

The greatest common factor of 381/296,122/264 = [GCF of 381,122]/[LCM of 296,264]= 1/9768

Therefore, the GCF of 381/296,122/264 is 1/9768.

Greatest Common Factor of 381,122

To find the highest common factor of 381,122, we have to find the factors of both numbers and list the highest common factor.

The factors of 381 are 1, 3, 127, 381

The factors of 122 are 1, 2, 61, 122

The HCF of 381,122 is 1.

Lets's calculate GCF of 381,122

Greatest Common Factor (GCF) of 381,122 By Common Division

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

Greatest Common Factor of 381,122 By Matching Biggest Common Factor Method

Now, list down the factors of 381

1,3,127,381

Now, list down the factors of 122

1,2,61,122

Greatest Common Factor

We found the factors 381,122 . The biggest common factor number is the GCF number.
So the greatest common factor 381,122 is 1.

Lets's calculate LCM of 296,264

Lowest Common Multiple of 296,264 using Common Division

2	296, 264
2	148, 132
2	74, 66
	37, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 33 = 9768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9768

Therefore, the GCF of Fractions 381/296,122/264 is 1/9768

Least Common Multiple of 296,264 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 296,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,264) = 8

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

GCF(296,264) x common factors =8 x 1 = 8

LCM(296,264) = ( 296 × 264 ) / 8

LCM(296,264) = 78144 / 8

LCM(296,264) = 9768

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FAQs on GCF of Fractions of 381/296, 122/264

1. What is the HCF of 381,122?

The HCF of 381,122 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 381/296, 122/264?

Answer: GCF of Numerators as per given numbers 381/296, 122/264 is

GCF of Numerators i.e. for 381,122 is 1

LCM of denominators i.e. for 296,264 is 9768.

Thus, GCF of Fractions is 1/9768.Finally, GCF of Fractions for 381/296, 122/264 is 1/9768.