How to Find GCF of 9013/740, 4419/9792?

GCF of 9013/740, 4419/9792

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 9013/740, 4419/9792 i.e 1/1811520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9013/740, 4419/9792.

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 9013/740,4419/9792?

Given fractions are 9013/740,4419/9792

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 9013/740,4419/9792, numerators are 9013,4419

Denominators are 740,9792

The GCF of 9013,4419 is 1 .

LCM of 740,9792 is 1811520.

The greatest common factor of 9013/740,4419/9792 = [GCF of 9013,4419]/[LCM of 740,9792]= 1/1811520

Therefore, the GCF of 9013/740,4419/9792 is 1/1811520.

Greatest Common Factor of 9013,4419

To find the highest common factor of 9013,4419, we have to find the factors of both numbers and list the highest common factor.

The factors of 9013 are 1, 9013

The factors of 4419 are 1, 3, 9, 491, 1473, 4419

The HCF of 9013,4419 is 1.

Lets's calculate GCF of 9013,4419

Greatest Common Factor (GCF) of 9013,4419 By Common Division

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

Greatest Common Factor of 9013,4419 By Matching Biggest Common Factor Method

Now, list down the factors of 9013

1,9013

Now, list down the factors of 4419

1,3,9,491,1473,4419

Greatest Common Factor

We found the factors 9013,4419 . The biggest common factor number is the GCF number.
So the greatest common factor 9013,4419 is 1.

Lets's calculate LCM of 740,9792

Lowest Common Multiple of 740,9792 using Common Division

2	740, 9792
2	370, 4896
	185, 2448

∴ So the LCM of the given numbers is 2 x 2 x 185 x 2448 = 1811520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1811520

Therefore, the GCF of Fractions 9013/740,4419/9792 is 1/1811520

Least Common Multiple of 740,9792 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 740,9792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,9792) = 4

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

GCF(740,9792) x common factors =4 x 1 = 4

LCM(740,9792) = ( 740 × 9792 ) / 4

LCM(740,9792) = 7246080 / 4

LCM(740,9792) = 1811520

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FAQs on GCF of Fractions of 9013/740, 4419/9792

1. What is the HCF of 9013,4419?

The HCF of 9013,4419 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 9013/740, 4419/9792?

Answer: GCF of Numerators as per given numbers 9013/740, 4419/9792 is

GCF of Numerators i.e. for 9013,4419 is 1

LCM of denominators i.e. for 740,9792 is 1811520.

Thus, GCF of Fractions is 1/1811520.Finally, GCF of Fractions for 9013/740, 4419/9792 is 1/1811520.