How to Find GCF of 9667/810, 7870/2584?

GCF of 9667/810, 7870/2584

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 9667/810, 7870/2584 i.e 1/1046520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9667/810, 7870/2584.

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 9667/810,7870/2584?

Given fractions are 9667/810,7870/2584

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 9667/810,7870/2584, numerators are 9667,7870

Denominators are 810,2584

The GCF of 9667,7870 is 1 .

LCM of 810,2584 is 1046520.

The greatest common factor of 9667/810,7870/2584 = [GCF of 9667,7870]/[LCM of 810,2584]= 1/1046520

Therefore, the GCF of 9667/810,7870/2584 is 1/1046520.

Greatest Common Factor of 9667,7870

To find the highest common factor of 9667,7870, we have to find the factors of both numbers and list the highest common factor.

The factors of 9667 are 1, 7, 1381, 9667

The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870

The HCF of 9667,7870 is 1.

Lets's calculate GCF of 9667,7870

Greatest Common Factor (GCF) of 9667,7870 By Common Division

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

Greatest Common Factor of 9667,7870 By Matching Biggest Common Factor Method

Now, list down the factors of 9667

1,7,1381,9667

Now, list down the factors of 7870

1,2,5,10,787,1574,3935,7870

Greatest Common Factor

We found the factors 9667,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 9667,7870 is 1.

Lets's calculate LCM of 810,2584

Lowest Common Multiple of 810,2584 using Common Division

2	810, 2584
	405, 1292

∴ So the LCM of the given numbers is 2 x 405 x 1292 = 1046520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1046520

Therefore, the GCF of Fractions 9667/810,7870/2584 is 1/1046520

Least Common Multiple of 810,2584 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 810,2584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,2584) = 2

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

GCF(810,2584) x common factors =2 x 1 = 2

LCM(810,2584) = ( 810 × 2584 ) / 2

LCM(810,2584) = 2093040 / 2

LCM(810,2584) = 1046520

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9667/810, 7870/2584

1. What is the HCF of 9667,7870?

The HCF of 9667,7870 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 9667/810, 7870/2584?

Answer: GCF of Numerators as per given numbers 9667/810, 7870/2584 is

GCF of Numerators i.e. for 9667,7870 is 1

LCM of denominators i.e. for 810,2584 is 1046520.

Thus, GCF of Fractions is 1/1046520.Finally, GCF of Fractions for 9667/810, 7870/2584 is 1/1046520.