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GCF of 2971/495, 1887/2270

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 2971/495, 1887/2270 i.e 1/224730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2971/495, 1887/2270.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2971/495,1887/2270?

Given fractions are 2971/495,1887/2270

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 2971/495,1887/2270, numerators are 2971,1887

Denominators are 495,2270

The GCF of 2971,1887 is 1 .

LCM of 495,2270 is 224730.

The greatest common factor of 2971/495,1887/2270 = [GCF of 2971,1887]/[LCM of 495,2270]= 1/224730

Therefore, the GCF of 2971/495,1887/2270 is 1/224730.

Greatest Common Factor of 2971,1887

To find the highest common factor of 2971,1887, we have to find the factors of both numbers and list the highest common factor.

The factors of 2971 are 1, 2971

The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887

The HCF of 2971,1887 is 1.

Lets's calculate GCF of 2971,1887

Greatest Common Factor (GCF) of 2971,1887 By Common Division

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

Greatest Common Factor of 2971,1887 By Matching Biggest Common Factor Method

Greatest Common Factor of 2971,1887 By Matching Biggest Common Factor Method

Now, list down the factors of 2971

:

1,2971

Now, list down the factors of 1887

:

1,3,17,37,51,111,629,1887

Greatest Common Factor

We found the factors 2971,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 2971,1887 is 1.

Lets's calculate LCM of 495,2270

Lowest Common Multiple of 495,2270 using Common Division

5 495, 2270
99, 454

∴ So the LCM of the given numbers is 5 x 99 x 454 = 224730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224730

Therefore, the GCF of Fractions 2971/495,1887/2270 is 1/224730

Least Common Multiple of 495,2270 with GCF Formula

Least Common Multiple of 495,2270 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 495,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,2270) = 5

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

GCF(495,2270) x common factors =5 x 1 = 5

LCM(495,2270) = ( 495 × 2270 ) / 5

LCM(495,2270) = 1123650 / 5

LCM(495,2270) = 224730


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FAQs on GCF of Fractions of 2971/495, 1887/2270

1. What is the HCF of 2971,1887?

The HCF of 2971,1887 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 2971/495, 1887/2270?

Answer: GCF of Numerators as per given numbers 2971/495, 1887/2270 is

GCF of Numerators i.e. for 2971,1887 is 1

LCM of denominators i.e. for 495,2270 is 224730.

Thus, GCF of Fractions is 1/224730.Finally, GCF of Fractions for 2971/495, 1887/2270 is 1/224730.