How to Find GCF of 8453/248, 6871/4816?

GCF of 8453/248, 6871/4816

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 8453/248, 6871/4816 i.e 1/149296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8453/248, 6871/4816.

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 8453/248,6871/4816?

Given fractions are 8453/248,6871/4816

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 8453/248,6871/4816, numerators are 8453,6871

Denominators are 248,4816

The GCF of 8453,6871 is 1 .

LCM of 248,4816 is 149296.

The greatest common factor of 8453/248,6871/4816 = [GCF of 8453,6871]/[LCM of 248,4816]= 1/149296

Therefore, the GCF of 8453/248,6871/4816 is 1/149296.

Greatest Common Factor of 8453,6871

To find the highest common factor of 8453,6871, we have to find the factors of both numbers and list the highest common factor.

The factors of 8453 are 1, 79, 107, 8453

The factors of 6871 are 1, 6871

The HCF of 8453,6871 is 1.

Lets's calculate GCF of 8453,6871

Greatest Common Factor (GCF) of 8453,6871 By Common Division

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

Greatest Common Factor of 8453,6871 By Matching Biggest Common Factor Method

Now, list down the factors of 8453

1,79,107,8453

Now, list down the factors of 6871

1,6871

Greatest Common Factor

We found the factors 8453,6871 . The biggest common factor number is the GCF number.
So the greatest common factor 8453,6871 is 1.

Lets's calculate LCM of 248,4816

Lowest Common Multiple of 248,4816 using Common Division

2	248, 4816
2	124, 2408
2	62, 1204
	31, 602

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 602 = 149296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149296

Therefore, the GCF of Fractions 8453/248,6871/4816 is 1/149296

Least Common Multiple of 248,4816 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 248,4816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,4816) = 8

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

GCF(248,4816) x common factors =8 x 1 = 8

LCM(248,4816) = ( 248 × 4816 ) / 8

LCM(248,4816) = 1194368 / 8

LCM(248,4816) = 149296

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FAQs on GCF of Fractions of 8453/248, 6871/4816

1. What is the HCF of 8453,6871?

The HCF of 8453,6871 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 8453/248, 6871/4816?

Answer: GCF of Numerators as per given numbers 8453/248, 6871/4816 is

GCF of Numerators i.e. for 8453,6871 is 1

LCM of denominators i.e. for 248,4816 is 149296.

Thus, GCF of Fractions is 1/149296.Finally, GCF of Fractions for 8453/248, 6871/4816 is 1/149296.