How to Find GCF of 8395/928, 3126/8286?

GCF of 8395/928, 3126/8286

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 8395/928, 3126/8286 i.e 1/3844704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8395/928, 3126/8286.

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 8395/928,3126/8286?

Given fractions are 8395/928,3126/8286

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 8395/928,3126/8286, numerators are 8395,3126

Denominators are 928,8286

The GCF of 8395,3126 is 1 .

LCM of 928,8286 is 3844704.

The greatest common factor of 8395/928,3126/8286 = [GCF of 8395,3126]/[LCM of 928,8286]= 1/3844704

Therefore, the GCF of 8395/928,3126/8286 is 1/3844704.

Greatest Common Factor of 8395,3126

To find the highest common factor of 8395,3126, we have to find the factors of both numbers and list the highest common factor.

The factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395

The factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126

The HCF of 8395,3126 is 1.

Lets's calculate GCF of 8395,3126

Greatest Common Factor (GCF) of 8395,3126 By Common Division

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

Greatest Common Factor of 8395,3126 By Matching Biggest Common Factor Method

Now, list down the factors of 8395

1,5,23,73,115,365,1679,8395

Now, list down the factors of 3126

1,2,3,6,521,1042,1563,3126

Greatest Common Factor

We found the factors 8395,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 8395,3126 is 1.

Lets's calculate LCM of 928,8286

Lowest Common Multiple of 928,8286 using Common Division

2	928, 8286
	464, 4143

∴ So the LCM of the given numbers is 2 x 464 x 4143 = 3844704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3844704

Therefore, the GCF of Fractions 8395/928,3126/8286 is 1/3844704

Least Common Multiple of 928,8286 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 928,8286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,8286) = 2

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

GCF(928,8286) x common factors =2 x 1 = 2

LCM(928,8286) = ( 928 × 8286 ) / 2

LCM(928,8286) = 7689408 / 2

LCM(928,8286) = 3844704

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FAQs on GCF of Fractions of 8395/928, 3126/8286

1. What is the HCF of 8395,3126?

The HCF of 8395,3126 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 8395/928, 3126/8286?

Answer: GCF of Numerators as per given numbers 8395/928, 3126/8286 is

GCF of Numerators i.e. for 8395,3126 is 1

LCM of denominators i.e. for 928,8286 is 3844704.

Thus, GCF of Fractions is 1/3844704.Finally, GCF of Fractions for 8395/928, 3126/8286 is 1/3844704.