How to Find GCF of 2647/999, 2274/7177?

GCF of 2647/999, 2274/7177

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 2647/999, 2274/7177 i.e 1/7169823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2647/999, 2274/7177.

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 2647/999,2274/7177?

Given fractions are 2647/999,2274/7177

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 2647/999,2274/7177, numerators are 2647,2274

Denominators are 999,7177

The GCF of 2647,2274 is 1 .

LCM of 999,7177 is 7169823.

The greatest common factor of 2647/999,2274/7177 = [GCF of 2647,2274]/[LCM of 999,7177]= 1/7169823

Therefore, the GCF of 2647/999,2274/7177 is 1/7169823.

Greatest Common Factor of 2647,2274

To find the highest common factor of 2647,2274, we have to find the factors of both numbers and list the highest common factor.

The factors of 2647 are 1, 2647

The factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274

The HCF of 2647,2274 is 1.

Lets's calculate GCF of 2647,2274

Greatest Common Factor (GCF) of 2647,2274 By Common Division

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

Greatest Common Factor of 2647,2274 By Matching Biggest Common Factor Method

Now, list down the factors of 2647

1,2647

Now, list down the factors of 2274

1,2,3,6,379,758,1137,2274

Greatest Common Factor

We found the factors 2647,2274 . The biggest common factor number is the GCF number.
So the greatest common factor 2647,2274 is 1.

Lets's calculate LCM of 999,7177

Lowest Common Multiple of 999,7177 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7169823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7169823

Therefore, the GCF of Fractions 2647/999,2274/7177 is 1/7169823

Least Common Multiple of 999,7177 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 999,7177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,7177) = 1

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

GCF(999,7177) x common factors =1 x 1 = 1

LCM(999,7177) = ( 999 × 7177 ) / 1

LCM(999,7177) = 7169823 / 1

LCM(999,7177) = 7169823

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FAQs on GCF of Fractions of 2647/999, 2274/7177

1. What is the HCF of 2647,2274?

The HCF of 2647,2274 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 2647/999, 2274/7177?

Answer: GCF of Numerators as per given numbers 2647/999, 2274/7177 is

GCF of Numerators i.e. for 2647,2274 is 1

LCM of denominators i.e. for 999,7177 is 7169823.

Thus, GCF of Fractions is 1/7169823.Finally, GCF of Fractions for 2647/999, 2274/7177 is 1/7169823.