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GCF of 266/390, 381/674

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 266/390, 381/674 i.e 1/131430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 266/390, 381/674.

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 266/390,381/674?

Given fractions are 266/390,381/674

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 266/390,381/674, numerators are 266,381

Denominators are 390,674

The GCF of 266,381 is 1 .

LCM of 390,674 is 131430.

The greatest common factor of 266/390,381/674 = [GCF of 266,381]/[LCM of 390,674]= 1/131430

Therefore, the GCF of 266/390,381/674 is 1/131430.

Greatest Common Factor of 266,381

To find the highest common factor of 266,381, we have to find the factors of both numbers and list the highest common factor.

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The factors of 381 are 1, 3, 127, 381

The HCF of 266,381 is 1.

Lets's calculate GCF of 266,381

Greatest Common Factor (GCF) of 266,381 By Common Division

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

Greatest Common Factor of 266,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,381 By Matching Biggest Common Factor Method

Now, list down the factors of 266

:

1,2,7,14,19,38,133,266

Now, list down the factors of 381

:

1,3,127,381

Greatest Common Factor

We found the factors 266,381 . The biggest common factor number is the GCF number.
So the greatest common factor 266,381 is 1.

Lets's calculate LCM of 390,674

Lowest Common Multiple of 390,674 using Common Division

2 390, 674
195, 337

∴ So the LCM of the given numbers is 2 x 195 x 337 = 131430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131430

Therefore, the GCF of Fractions 266/390,381/674 is 1/131430

Least Common Multiple of 390,674 with GCF Formula

Least Common Multiple of 390,674 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 390,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,674) = 2

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

GCF(390,674) x common factors =2 x 1 = 2

LCM(390,674) = ( 390 × 674 ) / 2

LCM(390,674) = 262860 / 2

LCM(390,674) = 131430


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FAQs on GCF of Fractions of 266/390, 381/674

1. What is the HCF of 266,381?

The HCF of 266,381 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 266/390, 381/674?

Answer: GCF of Numerators as per given numbers 266/390, 381/674 is

GCF of Numerators i.e. for 266,381 is 1

LCM of denominators i.e. for 390,674 is 131430.

Thus, GCF of Fractions is 1/131430.Finally, GCF of Fractions for 266/390, 381/674 is 1/131430.