LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9325/270, 6274/261

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 9325/270, 6274/261 i.e 1/7830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9325/270, 6274/261.

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 9325/270,6274/261?

Given fractions are 9325/270,6274/261

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 9325/270,6274/261, numerators are 9325,6274

Denominators are 270,261

The GCF of 9325,6274 is 1 .

LCM of 270,261 is 7830.

The greatest common factor of 9325/270,6274/261 = [GCF of 9325,6274]/[LCM of 270,261]= 1/7830

Therefore, the GCF of 9325/270,6274/261 is 1/7830.

Greatest Common Factor of 9325,6274

To find the highest common factor of 9325,6274, we have to find the factors of both numbers and list the highest common factor.

The factors of 9325 are 1, 5, 25, 373, 1865, 9325

The factors of 6274 are 1, 2, 3137, 6274

The HCF of 9325,6274 is 1.

Lets's calculate GCF of 9325,6274

Greatest Common Factor (GCF) of 9325,6274 By Common Division

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

Greatest Common Factor of 9325,6274 By Matching Biggest Common Factor Method

Greatest Common Factor of 9325,6274 By Matching Biggest Common Factor Method

Now, list down the factors of 9325

:

1,5,25,373,1865,9325

Now, list down the factors of 6274

:

1,2,3137,6274

Greatest Common Factor

We found the factors 9325,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 9325,6274 is 1.

Lets's calculate LCM of 270,261

Lowest Common Multiple of 270,261 using Common Division

3 270, 261
3 90, 87
30, 29

∴ So the LCM of the given numbers is 3 x 3 x 30 x 29 = 7830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7830

Therefore, the GCF of Fractions 9325/270,6274/261 is 1/7830

Least Common Multiple of 270,261 with GCF Formula

Least Common Multiple of 270,261 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 270,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,261) = 9

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

GCF(270,261) x common factors =9 x 1 = 9

LCM(270,261) = ( 270 × 261 ) / 9

LCM(270,261) = 70470 / 9

LCM(270,261) = 7830


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9325/270, 6274/261

1. What is the HCF of 9325,6274?

The HCF of 9325,6274 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 9325/270, 6274/261?

Answer: GCF of Numerators as per given numbers 9325/270, 6274/261 is

GCF of Numerators i.e. for 9325,6274 is 1

LCM of denominators i.e. for 270,261 is 7830.

Thus, GCF of Fractions is 1/7830.Finally, GCF of Fractions for 9325/270, 6274/261 is 1/7830.