How to Find GCF of 8677/572, 2189/2880?

GCF of 8677/572, 2189/2880

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 8677/572, 2189/2880 i.e 1/411840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8677/572, 2189/2880.

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 8677/572,2189/2880?

Given fractions are 8677/572,2189/2880

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 8677/572,2189/2880, numerators are 8677,2189

Denominators are 572,2880

The GCF of 8677,2189 is 1 .

LCM of 572,2880 is 411840.

The greatest common factor of 8677/572,2189/2880 = [GCF of 8677,2189]/[LCM of 572,2880]= 1/411840

Therefore, the GCF of 8677/572,2189/2880 is 1/411840.

Greatest Common Factor of 8677,2189

To find the highest common factor of 8677,2189, we have to find the factors of both numbers and list the highest common factor.

The factors of 8677 are 1, 8677

The factors of 2189 are 1, 11, 199, 2189

The HCF of 8677,2189 is 1.

Lets's calculate GCF of 8677,2189

Greatest Common Factor (GCF) of 8677,2189 By Common Division

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

Greatest Common Factor of 8677,2189 By Matching Biggest Common Factor Method

Now, list down the factors of 8677

1,8677

Now, list down the factors of 2189

1,11,199,2189

Greatest Common Factor

We found the factors 8677,2189 . The biggest common factor number is the GCF number.
So the greatest common factor 8677,2189 is 1.

Lets's calculate LCM of 572,2880

Lowest Common Multiple of 572,2880 using Common Division

2	572, 2880
2	286, 1440
	143, 720

∴ So the LCM of the given numbers is 2 x 2 x 143 x 720 = 411840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411840

Therefore, the GCF of Fractions 8677/572,2189/2880 is 1/411840

Least Common Multiple of 572,2880 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 572,2880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,2880) = 4

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

GCF(572,2880) x common factors =4 x 1 = 4

LCM(572,2880) = ( 572 × 2880 ) / 4

LCM(572,2880) = 1647360 / 4

LCM(572,2880) = 411840

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FAQs on GCF of Fractions of 8677/572, 2189/2880

1. What is the HCF of 8677,2189?

The HCF of 8677,2189 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 8677/572, 2189/2880?

Answer: GCF of Numerators as per given numbers 8677/572, 2189/2880 is

GCF of Numerators i.e. for 8677,2189 is 1

LCM of denominators i.e. for 572,2880 is 411840.

Thus, GCF of Fractions is 1/411840.Finally, GCF of Fractions for 8677/572, 2189/2880 is 1/411840.