How to Find GCF of 2851/887, 7211/8683?

GCF of 2851/887, 7211/8683

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 2851/887, 7211/8683 i.e 1/7701821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2851/887, 7211/8683.

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 2851/887,7211/8683?

Given fractions are 2851/887,7211/8683

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 2851/887,7211/8683, numerators are 2851,7211

Denominators are 887,8683

The GCF of 2851,7211 is 1 .

LCM of 887,8683 is 7701821.

The greatest common factor of 2851/887,7211/8683 = [GCF of 2851,7211]/[LCM of 887,8683]= 1/7701821

Therefore, the GCF of 2851/887,7211/8683 is 1/7701821.

Greatest Common Factor of 2851,7211

To find the highest common factor of 2851,7211, we have to find the factors of both numbers and list the highest common factor.

The factors of 2851 are 1, 2851

The factors of 7211 are 1, 7211

The HCF of 2851,7211 is 1.

Lets's calculate GCF of 2851,7211

Greatest Common Factor (GCF) of 2851,7211 By Common Division

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

Greatest Common Factor of 2851,7211 By Matching Biggest Common Factor Method

Now, list down the factors of 2851

1,2851

Now, list down the factors of 7211

1,7211

Greatest Common Factor

We found the factors 2851,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 2851,7211 is 1.

Lets's calculate LCM of 887,8683

Lowest Common Multiple of 887,8683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7701821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7701821

Therefore, the GCF of Fractions 2851/887,7211/8683 is 1/7701821

Least Common Multiple of 887,8683 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 887,8683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(887,8683) = 1

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

GCF(887,8683) x common factors =1 x 1 = 1

LCM(887,8683) = ( 887 × 8683 ) / 1

LCM(887,8683) = 7701821 / 1

LCM(887,8683) = 7701821

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FAQs on GCF of Fractions of 2851/887, 7211/8683

1. What is the HCF of 2851,7211?

The HCF of 2851,7211 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 2851/887, 7211/8683?

Answer: GCF of Numerators as per given numbers 2851/887, 7211/8683 is

GCF of Numerators i.e. for 2851,7211 is 1

LCM of denominators i.e. for 887,8683 is 7701821.

Thus, GCF of Fractions is 1/7701821.Finally, GCF of Fractions for 2851/887, 7211/8683 is 1/7701821.