How to Find GCF of 8299/253, 2868/7053?

GCF of 8299/253, 2868/7053

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 8299/253, 2868/7053 i.e 1/1784409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8299/253, 2868/7053.

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 8299/253,2868/7053?

Given fractions are 8299/253,2868/7053

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 8299/253,2868/7053, numerators are 8299,2868

Denominators are 253,7053

The GCF of 8299,2868 is 1 .

LCM of 253,7053 is 1784409.

The greatest common factor of 8299/253,2868/7053 = [GCF of 8299,2868]/[LCM of 253,7053]= 1/1784409

Therefore, the GCF of 8299/253,2868/7053 is 1/1784409.

Greatest Common Factor of 8299,2868

To find the highest common factor of 8299,2868, we have to find the factors of both numbers and list the highest common factor.

The factors of 8299 are 1, 43, 193, 8299

The factors of 2868 are 1, 2, 3, 4, 6, 12, 239, 478, 717, 956, 1434, 2868

The HCF of 8299,2868 is 1.

Lets's calculate GCF of 8299,2868

Greatest Common Factor (GCF) of 8299,2868 By Common Division

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

Greatest Common Factor of 8299,2868 By Matching Biggest Common Factor Method

Now, list down the factors of 8299

1,43,193,8299

Now, list down the factors of 2868

1,2,3,4,6,12,239,478,717,956,1434,2868

Greatest Common Factor

We found the factors 8299,2868 . The biggest common factor number is the GCF number.
So the greatest common factor 8299,2868 is 1.

Lets's calculate LCM of 253,7053

Lowest Common Multiple of 253,7053 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1784409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1784409

Therefore, the GCF of Fractions 8299/253,2868/7053 is 1/1784409

Least Common Multiple of 253,7053 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 253,7053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,7053) = 1

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

GCF(253,7053) x common factors =1 x 1 = 1

LCM(253,7053) = ( 253 × 7053 ) / 1

LCM(253,7053) = 1784409 / 1

LCM(253,7053) = 1784409

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FAQs on GCF of Fractions of 8299/253, 2868/7053

1. What is the HCF of 8299,2868?

The HCF of 8299,2868 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 8299/253, 2868/7053?

Answer: GCF of Numerators as per given numbers 8299/253, 2868/7053 is

GCF of Numerators i.e. for 8299,2868 is 1

LCM of denominators i.e. for 253,7053 is 1784409.

Thus, GCF of Fractions is 1/1784409.Finally, GCF of Fractions for 8299/253, 2868/7053 is 1/1784409.