How to Find GCF of 6501/208, 8249/9256?

GCF of 6501/208, 8249/9256

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 6501/208, 8249/9256 i.e 1/18512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6501/208, 8249/9256.

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 6501/208,8249/9256?

Given fractions are 6501/208,8249/9256

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 6501/208,8249/9256, numerators are 6501,8249

Denominators are 208,9256

The GCF of 6501,8249 is 1 .

LCM of 208,9256 is 18512.

The greatest common factor of 6501/208,8249/9256 = [GCF of 6501,8249]/[LCM of 208,9256]= 1/18512

Therefore, the GCF of 6501/208,8249/9256 is 1/18512.

Greatest Common Factor of 6501,8249

To find the highest common factor of 6501,8249, we have to find the factors of both numbers and list the highest common factor.

The factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501

The factors of 8249 are 1, 73, 113, 8249

The HCF of 6501,8249 is 1.

Lets's calculate GCF of 6501,8249

Greatest Common Factor (GCF) of 6501,8249 By Common Division

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

Greatest Common Factor of 6501,8249 By Matching Biggest Common Factor Method

Now, list down the factors of 6501

1,3,11,33,197,591,2167,6501

Now, list down the factors of 8249

1,73,113,8249

Greatest Common Factor

We found the factors 6501,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 6501,8249 is 1.

Lets's calculate LCM of 208,9256

Lowest Common Multiple of 208,9256 using Common Division

2	208, 9256
2	104, 4628
2	52, 2314
13	26, 1157
	2, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 2 x 89 = 18512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18512

Therefore, the GCF of Fractions 6501/208,8249/9256 is 1/18512

Least Common Multiple of 208,9256 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 208,9256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,9256) = 104

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

GCF(208,9256) x common factors =104 x 1 = 104

LCM(208,9256) = ( 208 × 9256 ) / 104

LCM(208,9256) = 1925248 / 104

LCM(208,9256) = 18512

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FAQs on GCF of Fractions of 6501/208, 8249/9256

1. What is the HCF of 6501,8249?

The HCF of 6501,8249 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 6501/208, 8249/9256?

Answer: GCF of Numerators as per given numbers 6501/208, 8249/9256 is

GCF of Numerators i.e. for 6501,8249 is 1

LCM of denominators i.e. for 208,9256 is 18512.

Thus, GCF of Fractions is 1/18512.Finally, GCF of Fractions for 6501/208, 8249/9256 is 1/18512.