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GCF of 361/270, 653/674

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 361/270, 653/674 i.e 1/90990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 361/270, 653/674.

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 361/270,653/674?

Given fractions are 361/270,653/674

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 361/270,653/674, numerators are 361,653

Denominators are 270,674

The GCF of 361,653 is 1 .

LCM of 270,674 is 90990.

The greatest common factor of 361/270,653/674 = [GCF of 361,653]/[LCM of 270,674]= 1/90990

Therefore, the GCF of 361/270,653/674 is 1/90990.

Greatest Common Factor of 361,653

To find the highest common factor of 361,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 361 are 1, 19, 361

The factors of 653 are 1, 653

The HCF of 361,653 is 1.

Lets's calculate GCF of 361,653

Greatest Common Factor (GCF) of 361,653 By Common Division

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

Greatest Common Factor of 361,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,653 By Matching Biggest Common Factor Method

Now, list down the factors of 361

:

1,19,361

Now, list down the factors of 653

:

1,653

Greatest Common Factor

We found the factors 361,653 . The biggest common factor number is the GCF number.
So the greatest common factor 361,653 is 1.

Lets's calculate LCM of 270,674

Lowest Common Multiple of 270,674 using Common Division

2 270, 674
135, 337

∴ So the LCM of the given numbers is 2 x 135 x 337 = 90990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90990

Therefore, the GCF of Fractions 361/270,653/674 is 1/90990

Least Common Multiple of 270,674 with GCF Formula

Least Common Multiple of 270,674 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 270,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,674) = 2

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

GCF(270,674) x common factors =2 x 1 = 2

LCM(270,674) = ( 270 × 674 ) / 2

LCM(270,674) = 181980 / 2

LCM(270,674) = 90990


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FAQs on GCF of Fractions of 361/270, 653/674

1. What is the HCF of 361,653?

The HCF of 361,653 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 361/270, 653/674?

Answer: GCF of Numerators as per given numbers 361/270, 653/674 is

GCF of Numerators i.e. for 361,653 is 1

LCM of denominators i.e. for 270,674 is 90990.

Thus, GCF of Fractions is 1/90990.Finally, GCF of Fractions for 361/270, 653/674 is 1/90990.