How to Find GCF of 3704/916, 2767/9476?

GCF of 3704/916, 2767/9476

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 3704/916, 2767/9476 i.e 1/2170004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3704/916, 2767/9476.

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 3704/916,2767/9476?

Given fractions are 3704/916,2767/9476

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 3704/916,2767/9476, numerators are 3704,2767

Denominators are 916,9476

The GCF of 3704,2767 is 1 .

LCM of 916,9476 is 2170004.

The greatest common factor of 3704/916,2767/9476 = [GCF of 3704,2767]/[LCM of 916,9476]= 1/2170004

Therefore, the GCF of 3704/916,2767/9476 is 1/2170004.

Greatest Common Factor of 3704,2767

To find the highest common factor of 3704,2767, we have to find the factors of both numbers and list the highest common factor.

The factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704

The factors of 2767 are 1, 2767

The HCF of 3704,2767 is 1.

Lets's calculate GCF of 3704,2767

Greatest Common Factor (GCF) of 3704,2767 By Common Division

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

Greatest Common Factor of 3704,2767 By Matching Biggest Common Factor Method

Now, list down the factors of 3704

1,2,4,8,463,926,1852,3704

Now, list down the factors of 2767

1,2767

Greatest Common Factor

We found the factors 3704,2767 . The biggest common factor number is the GCF number.
So the greatest common factor 3704,2767 is 1.

Lets's calculate LCM of 916,9476

Lowest Common Multiple of 916,9476 using Common Division

2	916, 9476
2	458, 4738
	229, 2369

∴ So the LCM of the given numbers is 2 x 2 x 229 x 2369 = 2170004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2170004

Therefore, the GCF of Fractions 3704/916,2767/9476 is 1/2170004

Least Common Multiple of 916,9476 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 916,9476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,9476) = 4

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

GCF(916,9476) x common factors =4 x 1 = 4

LCM(916,9476) = ( 916 × 9476 ) / 4

LCM(916,9476) = 8680016 / 4

LCM(916,9476) = 2170004

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3704/916, 2767/9476

1. What is the HCF of 3704,2767?

The HCF of 3704,2767 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 3704/916, 2767/9476?

Answer: GCF of Numerators as per given numbers 3704/916, 2767/9476 is

GCF of Numerators i.e. for 3704,2767 is 1

LCM of denominators i.e. for 916,9476 is 2170004.

Thus, GCF of Fractions is 1/2170004.Finally, GCF of Fractions for 3704/916, 2767/9476 is 1/2170004.