How to Find GCF of 2900/766, 2831/9982?

GCF of 2900/766, 2831/9982

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 2900/766, 2831/9982 i.e 1/3823106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2900/766, 2831/9982.

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 2900/766,2831/9982?

Given fractions are 2900/766,2831/9982

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 2900/766,2831/9982, numerators are 2900,2831

Denominators are 766,9982

The GCF of 2900,2831 is 1 .

LCM of 766,9982 is 3823106.

The greatest common factor of 2900/766,2831/9982 = [GCF of 2900,2831]/[LCM of 766,9982]= 1/3823106

Therefore, the GCF of 2900/766,2831/9982 is 1/3823106.

Greatest Common Factor of 2900,2831

To find the highest common factor of 2900,2831, we have to find the factors of both numbers and list the highest common factor.

The factors of 2900 are 1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 145, 290, 580, 725, 1450, 2900

The factors of 2831 are 1, 19, 149, 2831

The HCF of 2900,2831 is 1.

Lets's calculate GCF of 2900,2831

Greatest Common Factor (GCF) of 2900,2831 By Common Division

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

Greatest Common Factor of 2900,2831 By Matching Biggest Common Factor Method

Now, list down the factors of 2900

1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900

Now, list down the factors of 2831

1,19,149,2831

Greatest Common Factor

We found the factors 2900,2831 . The biggest common factor number is the GCF number.
So the greatest common factor 2900,2831 is 1.

Lets's calculate LCM of 766,9982

Lowest Common Multiple of 766,9982 using Common Division

2	766, 9982
	383, 4991

∴ So the LCM of the given numbers is 2 x 383 x 4991 = 3823106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3823106

Therefore, the GCF of Fractions 2900/766,2831/9982 is 1/3823106

Least Common Multiple of 766,9982 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 766,9982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,9982) = 2

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

GCF(766,9982) x common factors =2 x 1 = 2

LCM(766,9982) = ( 766 × 9982 ) / 2

LCM(766,9982) = 7646212 / 2

LCM(766,9982) = 3823106

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2900/766, 2831/9982

1. What is the HCF of 2900,2831?

The HCF of 2900,2831 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 2900/766, 2831/9982?

Answer: GCF of Numerators as per given numbers 2900/766, 2831/9982 is

GCF of Numerators i.e. for 2900,2831 is 1

LCM of denominators i.e. for 766,9982 is 3823106.

Thus, GCF of Fractions is 1/3823106.Finally, GCF of Fractions for 2900/766, 2831/9982 is 1/3823106.