How to Find GCF of 3379/604, 7457/476?

GCF of 3379/604, 7457/476

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 3379/604, 7457/476 i.e 1/71876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3379/604, 7457/476.

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 3379/604,7457/476?

Given fractions are 3379/604,7457/476

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 3379/604,7457/476, numerators are 3379,7457

Denominators are 604,476

The GCF of 3379,7457 is 1 .

LCM of 604,476 is 71876.

The greatest common factor of 3379/604,7457/476 = [GCF of 3379,7457]/[LCM of 604,476]= 1/71876

Therefore, the GCF of 3379/604,7457/476 is 1/71876.

Greatest Common Factor of 3379,7457

To find the highest common factor of 3379,7457, we have to find the factors of both numbers and list the highest common factor.

The factors of 3379 are 1, 31, 109, 3379

The factors of 7457 are 1, 7457

The HCF of 3379,7457 is 1.

Lets's calculate GCF of 3379,7457

Greatest Common Factor (GCF) of 3379,7457 By Common Division

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

Greatest Common Factor of 3379,7457 By Matching Biggest Common Factor Method

Now, list down the factors of 3379

1,31,109,3379

Now, list down the factors of 7457

1,7457

Greatest Common Factor

We found the factors 3379,7457 . The biggest common factor number is the GCF number.
So the greatest common factor 3379,7457 is 1.

Lets's calculate LCM of 604,476

Lowest Common Multiple of 604,476 using Common Division

2	604, 476
2	302, 238
	151, 119

∴ So the LCM of the given numbers is 2 x 2 x 151 x 119 = 71876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71876

Therefore, the GCF of Fractions 3379/604,7457/476 is 1/71876

Least Common Multiple of 604,476 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 604,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,476) = 4

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

GCF(604,476) x common factors =4 x 1 = 4

LCM(604,476) = ( 604 × 476 ) / 4

LCM(604,476) = 287504 / 4

LCM(604,476) = 71876

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FAQs on GCF of Fractions of 3379/604, 7457/476

1. What is the HCF of 3379,7457?

The HCF of 3379,7457 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 3379/604, 7457/476?

Answer: GCF of Numerators as per given numbers 3379/604, 7457/476 is

GCF of Numerators i.e. for 3379,7457 is 1

LCM of denominators i.e. for 604,476 is 71876.

Thus, GCF of Fractions is 1/71876.Finally, GCF of Fractions for 3379/604, 7457/476 is 1/71876.