How to Find GCF of 1067/583, 9187/7655?

GCF of 1067/583, 9187/7655

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 1067/583, 9187/7655 i.e 1/4462865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1067/583, 9187/7655.

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 1067/583,9187/7655?

Given fractions are 1067/583,9187/7655

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 1067/583,9187/7655, numerators are 1067,9187

Denominators are 583,7655

The GCF of 1067,9187 is 1 .

LCM of 583,7655 is 4462865.

The greatest common factor of 1067/583,9187/7655 = [GCF of 1067,9187]/[LCM of 583,7655]= 1/4462865

Therefore, the GCF of 1067/583,9187/7655 is 1/4462865.

Greatest Common Factor of 1067,9187

To find the highest common factor of 1067,9187, we have to find the factors of both numbers and list the highest common factor.

The factors of 1067 are 1, 11, 97, 1067

The factors of 9187 are 1, 9187

The HCF of 1067,9187 is 1.

Lets's calculate GCF of 1067,9187

Greatest Common Factor (GCF) of 1067,9187 By Common Division

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

Greatest Common Factor of 1067,9187 By Matching Biggest Common Factor Method

Now, list down the factors of 1067

1,11,97,1067

Now, list down the factors of 9187

1,9187

Greatest Common Factor

We found the factors 1067,9187 . The biggest common factor number is the GCF number.
So the greatest common factor 1067,9187 is 1.

Lets's calculate LCM of 583,7655

Lowest Common Multiple of 583,7655 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4462865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4462865

Therefore, the GCF of Fractions 1067/583,9187/7655 is 1/4462865

Least Common Multiple of 583,7655 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 583,7655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,7655) = 1

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

GCF(583,7655) x common factors =1 x 1 = 1

LCM(583,7655) = ( 583 × 7655 ) / 1

LCM(583,7655) = 4462865 / 1

LCM(583,7655) = 4462865

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FAQs on GCF of Fractions of 1067/583, 9187/7655

1. What is the HCF of 1067,9187?

The HCF of 1067,9187 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 1067/583, 9187/7655?

Answer: GCF of Numerators as per given numbers 1067/583, 9187/7655 is

GCF of Numerators i.e. for 1067,9187 is 1

LCM of denominators i.e. for 583,7655 is 4462865.

Thus, GCF of Fractions is 1/4462865.Finally, GCF of Fractions for 1067/583, 9187/7655 is 1/4462865.