How to Find GCF of 872/286, 1069/8879?

GCF of 872/286, 1069/8879

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 872/286, 1069/8879 i.e 1/195338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/286, 1069/8879.

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 872/286,1069/8879?

Given fractions are 872/286,1069/8879

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 872/286,1069/8879, numerators are 872,1069

Denominators are 286,8879

The GCF of 872,1069 is 1 .

LCM of 286,8879 is 195338.

The greatest common factor of 872/286,1069/8879 = [GCF of 872,1069]/[LCM of 286,8879]= 1/195338

Therefore, the GCF of 872/286,1069/8879 is 1/195338.

Greatest Common Factor of 872,1069

To find the highest common factor of 872,1069, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 1069 are 1, 1069

The HCF of 872,1069 is 1.

Lets's calculate GCF of 872,1069

Greatest Common Factor (GCF) of 872,1069 By Common Division

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

Greatest Common Factor of 872,1069 By Matching Biggest Common Factor Method

Now, list down the factors of 872

1,2,4,8,109,218,436,872

Now, list down the factors of 1069

1,1069

Greatest Common Factor

We found the factors 872,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 872,1069 is 1.

Lets's calculate LCM of 286,8879

Lowest Common Multiple of 286,8879 using Common Division

13	286, 8879
	22, 683

∴ So the LCM of the given numbers is 13 x 22 x 683 = 195338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195338

Therefore, the GCF of Fractions 872/286,1069/8879 is 1/195338

Least Common Multiple of 286,8879 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 286,8879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,8879) = 13

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

GCF(286,8879) x common factors =13 x 1 = 13

LCM(286,8879) = ( 286 × 8879 ) / 13

LCM(286,8879) = 2539394 / 13

LCM(286,8879) = 195338

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FAQs on GCF of Fractions of 872/286, 1069/8879

1. What is the HCF of 872,1069?

The HCF of 872,1069 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 872/286, 1069/8879?

Answer: GCF of Numerators as per given numbers 872/286, 1069/8879 is

GCF of Numerators i.e. for 872,1069 is 1

LCM of denominators i.e. for 286,8879 is 195338.

Thus, GCF of Fractions is 1/195338.Finally, GCF of Fractions for 872/286, 1069/8879 is 1/195338.