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 635/270, 132/206

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 635/270, 132/206 i.e 1/27810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/270, 132/206.

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 635/270,132/206?

Given fractions are 635/270,132/206

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 635/270,132/206, numerators are 635,132

Denominators are 270,206

The GCF of 635,132 is 1 .

LCM of 270,206 is 27810.

The greatest common factor of 635/270,132/206 = [GCF of 635,132]/[LCM of 270,206]= 1/27810

Therefore, the GCF of 635/270,132/206 is 1/27810.

Greatest Common Factor of 635,132

To find the highest common factor of 635,132, we have to find the factors of both numbers and list the highest common factor.

The factors of 635 are 1, 5, 127, 635

The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The HCF of 635,132 is 1.

Lets's calculate GCF of 635,132

Greatest Common Factor (GCF) of 635,132 By Common Division

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

Greatest Common Factor of 635,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,132 By Matching Biggest Common Factor Method

Now, list down the factors of 635

:

1,5,127,635

Now, list down the factors of 132

:

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 635,132 . The biggest common factor number is the GCF number.
So the greatest common factor 635,132 is 1.

Lets's calculate LCM of 270,206

Lowest Common Multiple of 270,206 using Common Division

2 270, 206
135, 103

∴ So the LCM of the given numbers is 2 x 135 x 103 = 27810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27810

Therefore, the GCF of Fractions 635/270,132/206 is 1/27810

Least Common Multiple of 270,206 with GCF Formula

Least Common Multiple of 270,206 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 270,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,206) = 2

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

GCF(270,206) x common factors =2 x 1 = 2

LCM(270,206) = ( 270 × 206 ) / 2

LCM(270,206) = 55620 / 2

LCM(270,206) = 27810


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 635/270, 132/206

1. What is the HCF of 635,132?

The HCF of 635,132 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 635/270, 132/206?

Answer: GCF of Numerators as per given numbers 635/270, 132/206 is

GCF of Numerators i.e. for 635,132 is 1

LCM of denominators i.e. for 270,206 is 27810.

Thus, GCF of Fractions is 1/27810.Finally, GCF of Fractions for 635/270, 132/206 is 1/27810.