How to Find GCF of 8726/388, 8693/1068?

GCF of 8726/388, 8693/1068

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 8726/388, 8693/1068 i.e 1/103596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8726/388, 8693/1068.

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 8726/388,8693/1068?

Given fractions are 8726/388,8693/1068

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 8726/388,8693/1068, numerators are 8726,8693

Denominators are 388,1068

The GCF of 8726,8693 is 1 .

LCM of 388,1068 is 103596.

The greatest common factor of 8726/388,8693/1068 = [GCF of 8726,8693]/[LCM of 388,1068]= 1/103596

Therefore, the GCF of 8726/388,8693/1068 is 1/103596.

Greatest Common Factor of 8726,8693

To find the highest common factor of 8726,8693, we have to find the factors of both numbers and list the highest common factor.

The factors of 8726 are 1, 2, 4363, 8726

The factors of 8693 are 1, 8693

The HCF of 8726,8693 is 1.

Lets's calculate GCF of 8726,8693

Greatest Common Factor (GCF) of 8726,8693 By Common Division

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

Greatest Common Factor of 8726,8693 By Matching Biggest Common Factor Method

Now, list down the factors of 8726

1,2,4363,8726

Now, list down the factors of 8693

1,8693

Greatest Common Factor

We found the factors 8726,8693 . The biggest common factor number is the GCF number.
So the greatest common factor 8726,8693 is 1.

Lets's calculate LCM of 388,1068

Lowest Common Multiple of 388,1068 using Common Division

2	388, 1068
2	194, 534
	97, 267

∴ So the LCM of the given numbers is 2 x 2 x 97 x 267 = 103596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103596

Therefore, the GCF of Fractions 8726/388,8693/1068 is 1/103596

Least Common Multiple of 388,1068 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 388,1068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,1068) = 4

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

GCF(388,1068) x common factors =4 x 1 = 4

LCM(388,1068) = ( 388 × 1068 ) / 4

LCM(388,1068) = 414384 / 4

LCM(388,1068) = 103596

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FAQs on GCF of Fractions of 8726/388, 8693/1068

1. What is the HCF of 8726,8693?

The HCF of 8726,8693 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 8726/388, 8693/1068?

Answer: GCF of Numerators as per given numbers 8726/388, 8693/1068 is

GCF of Numerators i.e. for 8726,8693 is 1

LCM of denominators i.e. for 388,1068 is 103596.

Thus, GCF of Fractions is 1/103596.Finally, GCF of Fractions for 8726/388, 8693/1068 is 1/103596.