How to Find GCF of 2129/660, 8995/8284?

GCF of 2129/660, 8995/8284

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 2129/660, 8995/8284 i.e 1/1366860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2129/660, 8995/8284.

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 2129/660,8995/8284?

Given fractions are 2129/660,8995/8284

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 2129/660,8995/8284, numerators are 2129,8995

Denominators are 660,8284

The GCF of 2129,8995 is 1 .

LCM of 660,8284 is 1366860.

The greatest common factor of 2129/660,8995/8284 = [GCF of 2129,8995]/[LCM of 660,8284]= 1/1366860

Therefore, the GCF of 2129/660,8995/8284 is 1/1366860.

Greatest Common Factor of 2129,8995

To find the highest common factor of 2129,8995, we have to find the factors of both numbers and list the highest common factor.

The factors of 2129 are 1, 2129

The factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995

The HCF of 2129,8995 is 1.

Lets's calculate GCF of 2129,8995

Greatest Common Factor (GCF) of 2129,8995 By Common Division

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

Greatest Common Factor of 2129,8995 By Matching Biggest Common Factor Method

Now, list down the factors of 2129

1,2129

Now, list down the factors of 8995

1,5,7,35,257,1285,1799,8995

Greatest Common Factor

We found the factors 2129,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 2129,8995 is 1.

Lets's calculate LCM of 660,8284

Lowest Common Multiple of 660,8284 using Common Division

2	660, 8284
2	330, 4142
	165, 2071

∴ So the LCM of the given numbers is 2 x 2 x 165 x 2071 = 1366860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1366860

Therefore, the GCF of Fractions 2129/660,8995/8284 is 1/1366860

Least Common Multiple of 660,8284 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 660,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,8284) = 4

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

GCF(660,8284) x common factors =4 x 1 = 4

LCM(660,8284) = ( 660 × 8284 ) / 4

LCM(660,8284) = 5467440 / 4

LCM(660,8284) = 1366860

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FAQs on GCF of Fractions of 2129/660, 8995/8284

1. What is the HCF of 2129,8995?

The HCF of 2129,8995 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 2129/660, 8995/8284?

Answer: GCF of Numerators as per given numbers 2129/660, 8995/8284 is

GCF of Numerators i.e. for 2129,8995 is 1

LCM of denominators i.e. for 660,8284 is 1366860.

Thus, GCF of Fractions is 1/1366860.Finally, GCF of Fractions for 2129/660, 8995/8284 is 1/1366860.