How to Find GCF of 3862/718, 8276/7303?

GCF of 3862/718, 8276/7303

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 3862/718, 8276/7303 i.e 2/5243554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3862/718, 8276/7303.

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 3862/718,8276/7303?

Given fractions are 3862/718,8276/7303

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 3862/718,8276/7303, numerators are 3862,8276

Denominators are 718,7303

The GCF of 3862,8276 is 2 .

LCM of 718,7303 is 5243554.

The greatest common factor of 3862/718,8276/7303 = [GCF of 3862,8276]/[LCM of 718,7303]= 2/5243554

Therefore, the GCF of 3862/718,8276/7303 is 2/5243554.

Greatest Common Factor of 3862,8276

To find the highest common factor of 3862,8276, we have to find the factors of both numbers and list the highest common factor.

The factors of 3862 are 1, 2, 1931, 3862

The factors of 8276 are 1, 2, 4, 2069, 4138, 8276

The HCF of 3862,8276 is 2.

Lets's calculate GCF of 3862,8276

Greatest Common Factor (GCF) of 3862,8276 By Common Division

2	3862, 8276
	1931, 4138

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3862,8276 By Matching Biggest Common Factor Method

Now, list down the factors of 3862

1,2,1931,3862

Now, list down the factors of 8276

1,2,4,2069,4138,8276

Greatest Common Factor

We found the factors 3862,8276 . The biggest common factor number is the GCF number.
So the greatest common factor 3862,8276 is 2.

Lets's calculate LCM of 718,7303

Lowest Common Multiple of 718,7303 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5243554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5243554

Therefore, the GCF of Fractions 3862/718,8276/7303 is 2/5243554

Least Common Multiple of 718,7303 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 718,7303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,7303) = 1

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

GCF(718,7303) x common factors =1 x 1 = 1

LCM(718,7303) = ( 718 × 7303 ) / 1

LCM(718,7303) = 5243554 / 1

LCM(718,7303) = 5243554

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FAQs on GCF of Fractions of 3862/718, 8276/7303

1. What is the HCF of 3862,8276?

The HCF of 3862,8276 is 2

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 3862/718, 8276/7303?

Answer: GCF of Numerators as per given numbers 3862/718, 8276/7303 is

GCF of Numerators i.e. for 3862,8276 is 2

LCM of denominators i.e. for 718,7303 is 5243554.

Thus, GCF of Fractions is 2/5243554.Finally, GCF of Fractions for 3862/718, 8276/7303 is 2/5243554.