How to Find GCF of 9061/214, 7135/4712?

GCF of 9061/214, 7135/4712

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 9061/214, 7135/4712 i.e 1/504184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9061/214, 7135/4712.

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 9061/214,7135/4712?

Given fractions are 9061/214,7135/4712

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 9061/214,7135/4712, numerators are 9061,7135

Denominators are 214,4712

The GCF of 9061,7135 is 1 .

LCM of 214,4712 is 504184.

The greatest common factor of 9061/214,7135/4712 = [GCF of 9061,7135]/[LCM of 214,4712]= 1/504184

Therefore, the GCF of 9061/214,7135/4712 is 1/504184.

Greatest Common Factor of 9061,7135

To find the highest common factor of 9061,7135, we have to find the factors of both numbers and list the highest common factor.

The factors of 9061 are 1, 13, 17, 41, 221, 533, 697, 9061

The factors of 7135 are 1, 5, 1427, 7135

The HCF of 9061,7135 is 1.

Lets's calculate GCF of 9061,7135

Greatest Common Factor (GCF) of 9061,7135 By Common Division

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

Greatest Common Factor of 9061,7135 By Matching Biggest Common Factor Method

Now, list down the factors of 9061

1,13,17,41,221,533,697,9061

Now, list down the factors of 7135

1,5,1427,7135

Greatest Common Factor

We found the factors 9061,7135 . The biggest common factor number is the GCF number.
So the greatest common factor 9061,7135 is 1.

Lets's calculate LCM of 214,4712

Lowest Common Multiple of 214,4712 using Common Division

2	214, 4712
	107, 2356

∴ So the LCM of the given numbers is 2 x 107 x 2356 = 504184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504184

Therefore, the GCF of Fractions 9061/214,7135/4712 is 1/504184

Least Common Multiple of 214,4712 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 214,4712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,4712) = 2

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

GCF(214,4712) x common factors =2 x 1 = 2

LCM(214,4712) = ( 214 × 4712 ) / 2

LCM(214,4712) = 1008368 / 2

LCM(214,4712) = 504184

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9061/214, 7135/4712

1. What is the HCF of 9061,7135?

The HCF of 9061,7135 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 9061/214, 7135/4712?

Answer: GCF of Numerators as per given numbers 9061/214, 7135/4712 is

GCF of Numerators i.e. for 9061,7135 is 1

LCM of denominators i.e. for 214,4712 is 504184.

Thus, GCF of Fractions is 1/504184.Finally, GCF of Fractions for 9061/214, 7135/4712 is 1/504184.