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GCF of 867/732, 409/786

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 867/732, 409/786 i.e 1/95892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/732, 409/786.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 867/732,409/786?

Given fractions are 867/732,409/786

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 867/732,409/786, numerators are 867,409

Denominators are 732,786

The GCF of 867,409 is 1 .

LCM of 732,786 is 95892.

The greatest common factor of 867/732,409/786 = [GCF of 867,409]/[LCM of 732,786]= 1/95892

Therefore, the GCF of 867/732,409/786 is 1/95892.

Greatest Common Factor of 867,409

To find the highest common factor of 867,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 867 are 1, 3, 17, 51, 289, 867

The factors of 409 are 1, 409

The HCF of 867,409 is 1.

Lets's calculate GCF of 867,409

Greatest Common Factor (GCF) of 867,409 By Common Division

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

Greatest Common Factor of 867,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,409 By Matching Biggest Common Factor Method

Now, list down the factors of 867

:

1,3,17,51,289,867

Now, list down the factors of 409

:

1,409

Greatest Common Factor

We found the factors 867,409 . The biggest common factor number is the GCF number.
So the greatest common factor 867,409 is 1.

Lets's calculate LCM of 732,786

Lowest Common Multiple of 732,786 using Common Division

2 732, 786
3 366, 393
122, 131

∴ So the LCM of the given numbers is 2 x 3 x 122 x 131 = 95892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95892

Therefore, the GCF of Fractions 867/732,409/786 is 1/95892

Least Common Multiple of 732,786 with GCF Formula

Least Common Multiple of 732,786 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 732,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,786) = 6

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

GCF(732,786) x common factors =6 x 1 = 6

LCM(732,786) = ( 732 × 786 ) / 6

LCM(732,786) = 575352 / 6

LCM(732,786) = 95892


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FAQs on GCF of Fractions of 867/732, 409/786

1. What is the HCF of 867,409?

The HCF of 867,409 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 867/732, 409/786?

Answer: GCF of Numerators as per given numbers 867/732, 409/786 is

GCF of Numerators i.e. for 867,409 is 1

LCM of denominators i.e. for 732,786 is 95892.

Thus, GCF of Fractions is 1/95892.Finally, GCF of Fractions for 867/732, 409/786 is 1/95892.