How to Find GCF of 1060/320, 7441/9144?

GCF of 1060/320, 7441/9144

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 1060/320, 7441/9144 i.e 1/365760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1060/320, 7441/9144.

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 1060/320,7441/9144?

Given fractions are 1060/320,7441/9144

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 1060/320,7441/9144, numerators are 1060,7441

Denominators are 320,9144

The GCF of 1060,7441 is 1 .

LCM of 320,9144 is 365760.

The greatest common factor of 1060/320,7441/9144 = [GCF of 1060,7441]/[LCM of 320,9144]= 1/365760

Therefore, the GCF of 1060/320,7441/9144 is 1/365760.

Greatest Common Factor of 1060,7441

To find the highest common factor of 1060,7441, we have to find the factors of both numbers and list the highest common factor.

The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

The factors of 7441 are 1, 7, 1063, 7441

The HCF of 1060,7441 is 1.

Lets's calculate GCF of 1060,7441

Greatest Common Factor (GCF) of 1060,7441 By Common Division

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

Greatest Common Factor of 1060,7441 By Matching Biggest Common Factor Method

Now, list down the factors of 1060

1,2,4,5,10,20,53,106,212,265,530,1060

Now, list down the factors of 7441

1,7,1063,7441

Greatest Common Factor

We found the factors 1060,7441 . The biggest common factor number is the GCF number.
So the greatest common factor 1060,7441 is 1.

Lets's calculate LCM of 320,9144

Lowest Common Multiple of 320,9144 using Common Division

2	320, 9144
2	160, 4572
2	80, 2286
	40, 1143

∴ So the LCM of the given numbers is 2 x 2 x 2 x 40 x 1143 = 365760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365760

Therefore, the GCF of Fractions 1060/320,7441/9144 is 1/365760

Least Common Multiple of 320,9144 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 320,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9144) = 8

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

GCF(320,9144) x common factors =8 x 1 = 8

LCM(320,9144) = ( 320 × 9144 ) / 8

LCM(320,9144) = 2926080 / 8

LCM(320,9144) = 365760

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FAQs on GCF of Fractions of 1060/320, 7441/9144

1. What is the HCF of 1060,7441?

The HCF of 1060,7441 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 1060/320, 7441/9144?

Answer: GCF of Numerators as per given numbers 1060/320, 7441/9144 is

GCF of Numerators i.e. for 1060,7441 is 1

LCM of denominators i.e. for 320,9144 is 365760.

Thus, GCF of Fractions is 1/365760.Finally, GCF of Fractions for 1060/320, 7441/9144 is 1/365760.