How to Find GCF of 6115/780, 1459/144?

GCF of 6115/780, 1459/144

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 6115/780, 1459/144 i.e 1/9360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6115/780, 1459/144.

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 6115/780,1459/144?

Given fractions are 6115/780,1459/144

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 6115/780,1459/144, numerators are 6115,1459

Denominators are 780,144

The GCF of 6115,1459 is 1 .

LCM of 780,144 is 9360.

The greatest common factor of 6115/780,1459/144 = [GCF of 6115,1459]/[LCM of 780,144]= 1/9360

Therefore, the GCF of 6115/780,1459/144 is 1/9360.

Greatest Common Factor of 6115,1459

To find the highest common factor of 6115,1459, we have to find the factors of both numbers and list the highest common factor.

The factors of 6115 are 1, 5, 1223, 6115

The factors of 1459 are 1, 1459

The HCF of 6115,1459 is 1.

Lets's calculate GCF of 6115,1459

Greatest Common Factor (GCF) of 6115,1459 By Common Division

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

Greatest Common Factor of 6115,1459 By Matching Biggest Common Factor Method

Now, list down the factors of 6115

1,5,1223,6115

Now, list down the factors of 1459

1,1459

Greatest Common Factor

We found the factors 6115,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 6115,1459 is 1.

Lets's calculate LCM of 780,144

Lowest Common Multiple of 780,144 using Common Division

2	780, 144
2	390, 72
3	195, 36
	65, 12

∴ So the LCM of the given numbers is 2 x 2 x 3 x 65 x 12 = 9360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9360

Therefore, the GCF of Fractions 6115/780,1459/144 is 1/9360

Least Common Multiple of 780,144 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 780,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,144) = 12

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

GCF(780,144) x common factors =12 x 1 = 12

LCM(780,144) = ( 780 × 144 ) / 12

LCM(780,144) = 112320 / 12

LCM(780,144) = 9360

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FAQs on GCF of Fractions of 6115/780, 1459/144

1. What is the HCF of 6115,1459?

The HCF of 6115,1459 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 6115/780, 1459/144?

Answer: GCF of Numerators as per given numbers 6115/780, 1459/144 is

GCF of Numerators i.e. for 6115,1459 is 1

LCM of denominators i.e. for 780,144 is 9360.

Thus, GCF of Fractions is 1/9360.Finally, GCF of Fractions for 6115/780, 1459/144 is 1/9360.