How to Find GCF of 368/723, 8056/9178?

GCF of 368/723, 8056/9178

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 368/723, 8056/9178 i.e 8/6635694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/723, 8056/9178.

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 368/723,8056/9178?

Given fractions are 368/723,8056/9178

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 368/723,8056/9178, numerators are 368,8056

Denominators are 723,9178

The GCF of 368,8056 is 8 .

LCM of 723,9178 is 6635694.

The greatest common factor of 368/723,8056/9178 = [GCF of 368,8056]/[LCM of 723,9178]= 8/6635694

Therefore, the GCF of 368/723,8056/9178 is 8/6635694.

Greatest Common Factor of 368,8056

To find the highest common factor of 368,8056, we have to find the factors of both numbers and list the highest common factor.

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

The factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056

The HCF of 368,8056 is 8.

Lets's calculate GCF of 368,8056

Greatest Common Factor (GCF) of 368,8056 By Common Division

2	368, 8056
2	184, 4028
2	92, 2014
	46, 1007

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 368,8056 By Matching Biggest Common Factor Method

Now, list down the factors of 368

1,2,4,8,16,23,46,92,184,368

Now, list down the factors of 8056

1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056

Greatest Common Factor

We found the factors 368,8056 . The biggest common factor number is the GCF number.
So the greatest common factor 368,8056 is 8.

Lets's calculate LCM of 723,9178

Lowest Common Multiple of 723,9178 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6635694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6635694

Therefore, the GCF of Fractions 368/723,8056/9178 is 8/6635694

Least Common Multiple of 723,9178 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 723,9178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,9178) = 1

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

GCF(723,9178) x common factors =1 x 1 = 1

LCM(723,9178) = ( 723 × 9178 ) / 1

LCM(723,9178) = 6635694 / 1

LCM(723,9178) = 6635694

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FAQs on GCF of Fractions of 368/723, 8056/9178

1. What is the HCF of 368,8056?

The HCF of 368,8056 is 8

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 368/723, 8056/9178?

Answer: GCF of Numerators as per given numbers 368/723, 8056/9178 is

GCF of Numerators i.e. for 368,8056 is 8

LCM of denominators i.e. for 723,9178 is 6635694.

Thus, GCF of Fractions is 8/6635694.Finally, GCF of Fractions for 368/723, 8056/9178 is 8/6635694.