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 661/242, 1266/131

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 661/242, 1266/131 i.e 1/31702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 661/242, 1266/131.

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 661/242,1266/131?

Given fractions are 661/242,1266/131

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 661/242,1266/131, numerators are 661,1266

Denominators are 242,131

The GCF of 661,1266 is 1 .

LCM of 242,131 is 31702.

The greatest common factor of 661/242,1266/131 = [GCF of 661,1266]/[LCM of 242,131]= 1/31702

Therefore, the GCF of 661/242,1266/131 is 1/31702.

Greatest Common Factor of 661,1266

To find the highest common factor of 661,1266, we have to find the factors of both numbers and list the highest common factor.

The factors of 661 are 1, 661

The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266

The HCF of 661,1266 is 1.

Lets's calculate GCF of 661,1266

Greatest Common Factor (GCF) of 661,1266 By Common Division

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

Greatest Common Factor of 661,1266 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,1266 By Matching Biggest Common Factor Method

Now, list down the factors of 661

:

1,661

Now, list down the factors of 1266

:

1,2,3,6,211,422,633,1266

Greatest Common Factor

We found the factors 661,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 661,1266 is 1.

Lets's calculate LCM of 242,131

Lowest Common Multiple of 242,131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 31702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31702

Therefore, the GCF of Fractions 661/242,1266/131 is 1/31702

Least Common Multiple of 242,131 with GCF Formula

Least Common Multiple of 242,131 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 242,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,131) = 1

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

GCF(242,131) x common factors =1 x 1 = 1

LCM(242,131) = ( 242 × 131 ) / 1

LCM(242,131) = 31702 / 1

LCM(242,131) = 31702


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 661/242, 1266/131

1. What is the HCF of 661,1266?

The HCF of 661,1266 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 661/242, 1266/131?

Answer: GCF of Numerators as per given numbers 661/242, 1266/131 is

GCF of Numerators i.e. for 661,1266 is 1

LCM of denominators i.e. for 242,131 is 31702.

Thus, GCF of Fractions is 1/31702.Finally, GCF of Fractions for 661/242, 1266/131 is 1/31702.