How to Find GCF of 8059/780, 2359/9128?

GCF of 8059/780, 2359/9128

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 8059/780, 2359/9128 i.e 1/1779960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8059/780, 2359/9128.

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 8059/780,2359/9128?

Given fractions are 8059/780,2359/9128

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 8059/780,2359/9128, numerators are 8059,2359

Denominators are 780,9128

The GCF of 8059,2359 is 1 .

LCM of 780,9128 is 1779960.

The greatest common factor of 8059/780,2359/9128 = [GCF of 8059,2359]/[LCM of 780,9128]= 1/1779960

Therefore, the GCF of 8059/780,2359/9128 is 1/1779960.

Greatest Common Factor of 8059,2359

To find the highest common factor of 8059,2359, we have to find the factors of both numbers and list the highest common factor.

The factors of 8059 are 1, 8059

The factors of 2359 are 1, 7, 337, 2359

The HCF of 8059,2359 is 1.

Lets's calculate GCF of 8059,2359

Greatest Common Factor (GCF) of 8059,2359 By Common Division

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

Greatest Common Factor of 8059,2359 By Matching Biggest Common Factor Method

Now, list down the factors of 8059

1,8059

Now, list down the factors of 2359

1,7,337,2359

Greatest Common Factor

We found the factors 8059,2359 . The biggest common factor number is the GCF number.
So the greatest common factor 8059,2359 is 1.

Lets's calculate LCM of 780,9128

Lowest Common Multiple of 780,9128 using Common Division

2	780, 9128
2	390, 4564
	195, 2282

∴ So the LCM of the given numbers is 2 x 2 x 195 x 2282 = 1779960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1779960

Therefore, the GCF of Fractions 8059/780,2359/9128 is 1/1779960

Least Common Multiple of 780,9128 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 780,9128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,9128) = 4

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

GCF(780,9128) x common factors =4 x 1 = 4

LCM(780,9128) = ( 780 × 9128 ) / 4

LCM(780,9128) = 7119840 / 4

LCM(780,9128) = 1779960

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FAQs on GCF of Fractions of 8059/780, 2359/9128

1. What is the HCF of 8059,2359?

The HCF of 8059,2359 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 8059/780, 2359/9128?

Answer: GCF of Numerators as per given numbers 8059/780, 2359/9128 is

GCF of Numerators i.e. for 8059,2359 is 1

LCM of denominators i.e. for 780,9128 is 1779960.

Thus, GCF of Fractions is 1/1779960.Finally, GCF of Fractions for 8059/780, 2359/9128 is 1/1779960.