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 802/266, 6131/492

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 802/266, 6131/492 i.e 1/65436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 802/266, 6131/492.

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 802/266,6131/492?

Given fractions are 802/266,6131/492

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 802/266,6131/492, numerators are 802,6131

Denominators are 266,492

The GCF of 802,6131 is 1 .

LCM of 266,492 is 65436.

The greatest common factor of 802/266,6131/492 = [GCF of 802,6131]/[LCM of 266,492]= 1/65436

Therefore, the GCF of 802/266,6131/492 is 1/65436.

Greatest Common Factor of 802,6131

To find the highest common factor of 802,6131, we have to find the factors of both numbers and list the highest common factor.

The factors of 802 are 1, 2, 401, 802

The factors of 6131 are 1, 6131

The HCF of 802,6131 is 1.

Lets's calculate GCF of 802,6131

Greatest Common Factor (GCF) of 802,6131 By Common Division

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

Greatest Common Factor of 802,6131 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,6131 By Matching Biggest Common Factor Method

Now, list down the factors of 802

:

1,2,401,802

Now, list down the factors of 6131

:

1,6131

Greatest Common Factor

We found the factors 802,6131 . The biggest common factor number is the GCF number.
So the greatest common factor 802,6131 is 1.

Lets's calculate LCM of 266,492

Lowest Common Multiple of 266,492 using Common Division

2 266, 492
133, 246

∴ So the LCM of the given numbers is 2 x 133 x 246 = 65436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65436

Therefore, the GCF of Fractions 802/266,6131/492 is 1/65436

Least Common Multiple of 266,492 with GCF Formula

Least Common Multiple of 266,492 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 266,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,492) = 2

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

GCF(266,492) x common factors =2 x 1 = 2

LCM(266,492) = ( 266 × 492 ) / 2

LCM(266,492) = 130872 / 2

LCM(266,492) = 65436


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 802/266, 6131/492

1. What is the HCF of 802,6131?

The HCF of 802,6131 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 802/266, 6131/492?

Answer: GCF of Numerators as per given numbers 802/266, 6131/492 is

GCF of Numerators i.e. for 802,6131 is 1

LCM of denominators i.e. for 266,492 is 65436.

Thus, GCF of Fractions is 1/65436.Finally, GCF of Fractions for 802/266, 6131/492 is 1/65436.