How to Find GCF of 9643/766, 3892/1031?

GCF of 9643/766, 3892/1031

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 9643/766, 3892/1031 i.e 1/789746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9643/766, 3892/1031.

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 9643/766,3892/1031?

Given fractions are 9643/766,3892/1031

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 9643/766,3892/1031, numerators are 9643,3892

Denominators are 766,1031

The GCF of 9643,3892 is 1 .

LCM of 766,1031 is 789746.

The greatest common factor of 9643/766,3892/1031 = [GCF of 9643,3892]/[LCM of 766,1031]= 1/789746

Therefore, the GCF of 9643/766,3892/1031 is 1/789746.

Greatest Common Factor of 9643,3892

To find the highest common factor of 9643,3892, we have to find the factors of both numbers and list the highest common factor.

The factors of 9643 are 1, 9643

The factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892

The HCF of 9643,3892 is 1.

Lets's calculate GCF of 9643,3892

Greatest Common Factor (GCF) of 9643,3892 By Common Division

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

Greatest Common Factor of 9643,3892 By Matching Biggest Common Factor Method

Now, list down the factors of 9643

1,9643

Now, list down the factors of 3892

1,2,4,7,14,28,139,278,556,973,1946,3892

Greatest Common Factor

We found the factors 9643,3892 . The biggest common factor number is the GCF number.
So the greatest common factor 9643,3892 is 1.

Lets's calculate LCM of 766,1031

Lowest Common Multiple of 766,1031 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 789746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789746

Therefore, the GCF of Fractions 9643/766,3892/1031 is 1/789746

Least Common Multiple of 766,1031 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 766,1031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,1031) = 1

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

GCF(766,1031) x common factors =1 x 1 = 1

LCM(766,1031) = ( 766 × 1031 ) / 1

LCM(766,1031) = 789746 / 1

LCM(766,1031) = 789746

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9643/766, 3892/1031

1. What is the HCF of 9643,3892?

The HCF of 9643,3892 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 9643/766, 3892/1031?

Answer: GCF of Numerators as per given numbers 9643/766, 3892/1031 is

GCF of Numerators i.e. for 9643,3892 is 1

LCM of denominators i.e. for 766,1031 is 789746.

Thus, GCF of Fractions is 1/789746.Finally, GCF of Fractions for 9643/766, 3892/1031 is 1/789746.