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GCF of 1851/997, 2551/2844

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 1851/997, 2551/2844 i.e 1/2835468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1851/997, 2551/2844.

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 1851/997,2551/2844?

Given fractions are 1851/997,2551/2844

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 1851/997,2551/2844, numerators are 1851,2551

Denominators are 997,2844

The GCF of 1851,2551 is 1 .

LCM of 997,2844 is 2835468.

The greatest common factor of 1851/997,2551/2844 = [GCF of 1851,2551]/[LCM of 997,2844]= 1/2835468

Therefore, the GCF of 1851/997,2551/2844 is 1/2835468.

Greatest Common Factor of 1851,2551

To find the highest common factor of 1851,2551, we have to find the factors of both numbers and list the highest common factor.

The factors of 1851 are 1, 3, 617, 1851

The factors of 2551 are 1, 2551

The HCF of 1851,2551 is 1.

Lets's calculate GCF of 1851,2551

Greatest Common Factor (GCF) of 1851,2551 By Common Division

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

Greatest Common Factor of 1851,2551 By Matching Biggest Common Factor Method

Greatest Common Factor of 1851,2551 By Matching Biggest Common Factor Method

Now, list down the factors of 1851

:

1,3,617,1851

Now, list down the factors of 2551

:

1,2551

Greatest Common Factor

We found the factors 1851,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 1851,2551 is 1.

Lets's calculate LCM of 997,2844

Lowest Common Multiple of 997,2844 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2835468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2835468

Therefore, the GCF of Fractions 1851/997,2551/2844 is 1/2835468

Least Common Multiple of 997,2844 with GCF Formula

Least Common Multiple of 997,2844 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 997,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,2844) = 1

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

GCF(997,2844) x common factors =1 x 1 = 1

LCM(997,2844) = ( 997 × 2844 ) / 1

LCM(997,2844) = 2835468 / 1

LCM(997,2844) = 2835468


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1851/997, 2551/2844

1. What is the HCF of 1851,2551?

The HCF of 1851,2551 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 1851/997, 2551/2844?

Answer: GCF of Numerators as per given numbers 1851/997, 2551/2844 is

GCF of Numerators i.e. for 1851,2551 is 1

LCM of denominators i.e. for 997,2844 is 2835468.

Thus, GCF of Fractions is 1/2835468.Finally, GCF of Fractions for 1851/997, 2551/2844 is 1/2835468.