How to Find GCF of 8333/508, 2651/9016?

GCF of 8333/508, 2651/9016

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 8333/508, 2651/9016 i.e 1/1145032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8333/508, 2651/9016.

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 8333/508,2651/9016?

Given fractions are 8333/508,2651/9016

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 8333/508,2651/9016, numerators are 8333,2651

Denominators are 508,9016

The GCF of 8333,2651 is 1 .

LCM of 508,9016 is 1145032.

The greatest common factor of 8333/508,2651/9016 = [GCF of 8333,2651]/[LCM of 508,9016]= 1/1145032

Therefore, the GCF of 8333/508,2651/9016 is 1/1145032.

Greatest Common Factor of 8333,2651

To find the highest common factor of 8333,2651, we have to find the factors of both numbers and list the highest common factor.

The factors of 8333 are 1, 13, 641, 8333

The factors of 2651 are 1, 11, 241, 2651

The HCF of 8333,2651 is 1.

Lets's calculate GCF of 8333,2651

Greatest Common Factor (GCF) of 8333,2651 By Common Division

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

Greatest Common Factor of 8333,2651 By Matching Biggest Common Factor Method

Now, list down the factors of 8333

1,13,641,8333

Now, list down the factors of 2651

1,11,241,2651

Greatest Common Factor

We found the factors 8333,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 8333,2651 is 1.

Lets's calculate LCM of 508,9016

Lowest Common Multiple of 508,9016 using Common Division

2	508, 9016
2	254, 4508
	127, 2254

∴ So the LCM of the given numbers is 2 x 2 x 127 x 2254 = 1145032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1145032

Therefore, the GCF of Fractions 8333/508,2651/9016 is 1/1145032

Least Common Multiple of 508,9016 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 508,9016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,9016) = 4

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

GCF(508,9016) x common factors =4 x 1 = 4

LCM(508,9016) = ( 508 × 9016 ) / 4

LCM(508,9016) = 4580128 / 4

LCM(508,9016) = 1145032

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FAQs on GCF of Fractions of 8333/508, 2651/9016

1. What is the HCF of 8333,2651?

The HCF of 8333,2651 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 8333/508, 2651/9016?

Answer: GCF of Numerators as per given numbers 8333/508, 2651/9016 is

GCF of Numerators i.e. for 8333,2651 is 1

LCM of denominators i.e. for 508,9016 is 1145032.

Thus, GCF of Fractions is 1/1145032.Finally, GCF of Fractions for 8333/508, 2651/9016 is 1/1145032.