How to Find GCF of 9063/824, 7435/2920?

GCF of 9063/824, 7435/2920

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 9063/824, 7435/2920 i.e 1/300760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9063/824, 7435/2920.

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 9063/824,7435/2920?

Given fractions are 9063/824,7435/2920

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 9063/824,7435/2920, numerators are 9063,7435

Denominators are 824,2920

The GCF of 9063,7435 is 1 .

LCM of 824,2920 is 300760.

The greatest common factor of 9063/824,7435/2920 = [GCF of 9063,7435]/[LCM of 824,2920]= 1/300760

Therefore, the GCF of 9063/824,7435/2920 is 1/300760.

Greatest Common Factor of 9063,7435

To find the highest common factor of 9063,7435, we have to find the factors of both numbers and list the highest common factor.

The factors of 9063 are 1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021, 9063

The factors of 7435 are 1, 5, 1487, 7435

The HCF of 9063,7435 is 1.

Lets's calculate GCF of 9063,7435

Greatest Common Factor (GCF) of 9063,7435 By Common Division

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

Greatest Common Factor of 9063,7435 By Matching Biggest Common Factor Method

Now, list down the factors of 9063

1,3,9,19,53,57,159,171,477,1007,3021,9063

Now, list down the factors of 7435

1,5,1487,7435

Greatest Common Factor

We found the factors 9063,7435 . The biggest common factor number is the GCF number.
So the greatest common factor 9063,7435 is 1.

Lets's calculate LCM of 824,2920

Lowest Common Multiple of 824,2920 using Common Division

2	824, 2920
2	412, 1460
2	206, 730
	103, 365

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 365 = 300760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300760

Therefore, the GCF of Fractions 9063/824,7435/2920 is 1/300760

Least Common Multiple of 824,2920 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 824,2920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,2920) = 8

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

GCF(824,2920) x common factors =8 x 1 = 8

LCM(824,2920) = ( 824 × 2920 ) / 8

LCM(824,2920) = 2406080 / 8

LCM(824,2920) = 300760

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FAQs on GCF of Fractions of 9063/824, 7435/2920

1. What is the HCF of 9063,7435?

The HCF of 9063,7435 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 9063/824, 7435/2920?

Answer: GCF of Numerators as per given numbers 9063/824, 7435/2920 is

GCF of Numerators i.e. for 9063,7435 is 1

LCM of denominators i.e. for 824,2920 is 300760.

Thus, GCF of Fractions is 1/300760.Finally, GCF of Fractions for 9063/824, 7435/2920 is 1/300760.