How to Find GCF of 2889/836, 3187/8948?

GCF of 2889/836, 3187/8948

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 2889/836, 3187/8948 i.e 1/1870132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2889/836, 3187/8948.

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 2889/836,3187/8948?

Given fractions are 2889/836,3187/8948

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 2889/836,3187/8948, numerators are 2889,3187

Denominators are 836,8948

The GCF of 2889,3187 is 1 .

LCM of 836,8948 is 1870132.

The greatest common factor of 2889/836,3187/8948 = [GCF of 2889,3187]/[LCM of 836,8948]= 1/1870132

Therefore, the GCF of 2889/836,3187/8948 is 1/1870132.

Greatest Common Factor of 2889,3187

To find the highest common factor of 2889,3187, we have to find the factors of both numbers and list the highest common factor.

The factors of 2889 are 1, 3, 9, 27, 107, 321, 963, 2889

The factors of 3187 are 1, 3187

The HCF of 2889,3187 is 1.

Lets's calculate GCF of 2889,3187

Greatest Common Factor (GCF) of 2889,3187 By Common Division

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

Greatest Common Factor of 2889,3187 By Matching Biggest Common Factor Method

Now, list down the factors of 2889

1,3,9,27,107,321,963,2889

Now, list down the factors of 3187

1,3187

Greatest Common Factor

We found the factors 2889,3187 . The biggest common factor number is the GCF number.
So the greatest common factor 2889,3187 is 1.

Lets's calculate LCM of 836,8948

Lowest Common Multiple of 836,8948 using Common Division

2	836, 8948
2	418, 4474
	209, 2237

∴ So the LCM of the given numbers is 2 x 2 x 209 x 2237 = 1870132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1870132

Therefore, the GCF of Fractions 2889/836,3187/8948 is 1/1870132

Least Common Multiple of 836,8948 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 836,8948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,8948) = 4

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

GCF(836,8948) x common factors =4 x 1 = 4

LCM(836,8948) = ( 836 × 8948 ) / 4

LCM(836,8948) = 7480528 / 4

LCM(836,8948) = 1870132

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FAQs on GCF of Fractions of 2889/836, 3187/8948

1. What is the HCF of 2889,3187?

The HCF of 2889,3187 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 2889/836, 3187/8948?

Answer: GCF of Numerators as per given numbers 2889/836, 3187/8948 is

GCF of Numerators i.e. for 2889,3187 is 1

LCM of denominators i.e. for 836,8948 is 1870132.

Thus, GCF of Fractions is 1/1870132.Finally, GCF of Fractions for 2889/836, 3187/8948 is 1/1870132.