How to Find GCF of 7311/376, 5225/9540?

GCF of 7311/376, 5225/9540

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 7311/376, 5225/9540 i.e 1/896760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7311/376, 5225/9540.

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 7311/376,5225/9540?

Given fractions are 7311/376,5225/9540

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 7311/376,5225/9540, numerators are 7311,5225

Denominators are 376,9540

The GCF of 7311,5225 is 1 .

LCM of 376,9540 is 896760.

The greatest common factor of 7311/376,5225/9540 = [GCF of 7311,5225]/[LCM of 376,9540]= 1/896760

Therefore, the GCF of 7311/376,5225/9540 is 1/896760.

Greatest Common Factor of 7311,5225

To find the highest common factor of 7311,5225, we have to find the factors of both numbers and list the highest common factor.

The factors of 7311 are 1, 3, 2437, 7311

The factors of 5225 are 1, 5, 11, 19, 25, 55, 95, 209, 275, 475, 1045, 5225

The HCF of 7311,5225 is 1.

Lets's calculate GCF of 7311,5225

Greatest Common Factor (GCF) of 7311,5225 By Common Division

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

Greatest Common Factor of 7311,5225 By Matching Biggest Common Factor Method

Now, list down the factors of 7311

1,3,2437,7311

Now, list down the factors of 5225

1,5,11,19,25,55,95,209,275,475,1045,5225

Greatest Common Factor

We found the factors 7311,5225 . The biggest common factor number is the GCF number.
So the greatest common factor 7311,5225 is 1.

Lets's calculate LCM of 376,9540

Lowest Common Multiple of 376,9540 using Common Division

2	376, 9540
2	188, 4770
	94, 2385

∴ So the LCM of the given numbers is 2 x 2 x 94 x 2385 = 896760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/896760

Therefore, the GCF of Fractions 7311/376,5225/9540 is 1/896760

Least Common Multiple of 376,9540 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 376,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,9540) = 4

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

GCF(376,9540) x common factors =4 x 1 = 4

LCM(376,9540) = ( 376 × 9540 ) / 4

LCM(376,9540) = 3587040 / 4

LCM(376,9540) = 896760

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FAQs on GCF of Fractions of 7311/376, 5225/9540

1. What is the HCF of 7311,5225?

The HCF of 7311,5225 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 7311/376, 5225/9540?

Answer: GCF of Numerators as per given numbers 7311/376, 5225/9540 is

GCF of Numerators i.e. for 7311,5225 is 1

LCM of denominators i.e. for 376,9540 is 896760.

Thus, GCF of Fractions is 1/896760.Finally, GCF of Fractions for 7311/376, 5225/9540 is 1/896760.