How to Find GCF of 4657/802, 5323/6862?

GCF of 4657/802, 5323/6862

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 4657/802, 5323/6862 i.e 1/2751662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4657/802, 5323/6862.

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 4657/802,5323/6862?

Given fractions are 4657/802,5323/6862

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 4657/802,5323/6862, numerators are 4657,5323

Denominators are 802,6862

The GCF of 4657,5323 is 1 .

LCM of 802,6862 is 2751662.

The greatest common factor of 4657/802,5323/6862 = [GCF of 4657,5323]/[LCM of 802,6862]= 1/2751662

Therefore, the GCF of 4657/802,5323/6862 is 1/2751662.

Greatest Common Factor of 4657,5323

To find the highest common factor of 4657,5323, we have to find the factors of both numbers and list the highest common factor.

The factors of 4657 are 1, 4657

The factors of 5323 are 1, 5323

The HCF of 4657,5323 is 1.

Lets's calculate GCF of 4657,5323

Greatest Common Factor (GCF) of 4657,5323 By Common Division

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

Greatest Common Factor of 4657,5323 By Matching Biggest Common Factor Method

Now, list down the factors of 4657

1,4657

Now, list down the factors of 5323

1,5323

Greatest Common Factor

We found the factors 4657,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 4657,5323 is 1.

Lets's calculate LCM of 802,6862

Lowest Common Multiple of 802,6862 using Common Division

2	802, 6862
	401, 3431

∴ So the LCM of the given numbers is 2 x 401 x 3431 = 2751662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2751662

Therefore, the GCF of Fractions 4657/802,5323/6862 is 1/2751662

Least Common Multiple of 802,6862 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 802,6862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,6862) = 2

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

GCF(802,6862) x common factors =2 x 1 = 2

LCM(802,6862) = ( 802 × 6862 ) / 2

LCM(802,6862) = 5503324 / 2

LCM(802,6862) = 2751662

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FAQs on GCF of Fractions of 4657/802, 5323/6862

1. What is the HCF of 4657,5323?

The HCF of 4657,5323 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 4657/802, 5323/6862?

Answer: GCF of Numerators as per given numbers 4657/802, 5323/6862 is

GCF of Numerators i.e. for 4657,5323 is 1

LCM of denominators i.e. for 802,6862 is 2751662.

Thus, GCF of Fractions is 1/2751662.Finally, GCF of Fractions for 4657/802, 5323/6862 is 1/2751662.