How to Find GCF of 9412/296, 7703/4938?

GCF of 9412/296, 7703/4938

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 9412/296, 7703/4938 i.e 1/730824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9412/296, 7703/4938.

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 9412/296,7703/4938?

Given fractions are 9412/296,7703/4938

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 9412/296,7703/4938, numerators are 9412,7703

Denominators are 296,4938

The GCF of 9412,7703 is 1 .

LCM of 296,4938 is 730824.

The greatest common factor of 9412/296,7703/4938 = [GCF of 9412,7703]/[LCM of 296,4938]= 1/730824

Therefore, the GCF of 9412/296,7703/4938 is 1/730824.

Greatest Common Factor of 9412,7703

To find the highest common factor of 9412,7703, we have to find the factors of both numbers and list the highest common factor.

The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412

The factors of 7703 are 1, 7703

The HCF of 9412,7703 is 1.

Lets's calculate GCF of 9412,7703

Greatest Common Factor (GCF) of 9412,7703 By Common Division

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

Greatest Common Factor of 9412,7703 By Matching Biggest Common Factor Method

Now, list down the factors of 9412

1,2,4,13,26,52,181,362,724,2353,4706,9412

Now, list down the factors of 7703

1,7703

Greatest Common Factor

We found the factors 9412,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,7703 is 1.

Lets's calculate LCM of 296,4938

Lowest Common Multiple of 296,4938 using Common Division

2	296, 4938
	148, 2469

∴ So the LCM of the given numbers is 2 x 148 x 2469 = 730824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730824

Therefore, the GCF of Fractions 9412/296,7703/4938 is 1/730824

Least Common Multiple of 296,4938 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 296,4938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,4938) = 2

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

GCF(296,4938) x common factors =2 x 1 = 2

LCM(296,4938) = ( 296 × 4938 ) / 2

LCM(296,4938) = 1461648 / 2

LCM(296,4938) = 730824

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FAQs on GCF of Fractions of 9412/296, 7703/4938

1. What is the HCF of 9412,7703?

The HCF of 9412,7703 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 9412/296, 7703/4938?

Answer: GCF of Numerators as per given numbers 9412/296, 7703/4938 is

GCF of Numerators i.e. for 9412,7703 is 1

LCM of denominators i.e. for 296,4938 is 730824.

Thus, GCF of Fractions is 1/730824.Finally, GCF of Fractions for 9412/296, 7703/4938 is 1/730824.