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GCF of 262/970, 1817/498

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 262/970, 1817/498 i.e 1/241530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/970, 1817/498.

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 262/970,1817/498?

Given fractions are 262/970,1817/498

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 262/970,1817/498, numerators are 262,1817

Denominators are 970,498

The GCF of 262,1817 is 1 .

LCM of 970,498 is 241530.

The greatest common factor of 262/970,1817/498 = [GCF of 262,1817]/[LCM of 970,498]= 1/241530

Therefore, the GCF of 262/970,1817/498 is 1/241530.

Greatest Common Factor of 262,1817

To find the highest common factor of 262,1817, we have to find the factors of both numbers and list the highest common factor.

The factors of 262 are 1, 2, 131, 262

The factors of 1817 are 1, 23, 79, 1817

The HCF of 262,1817 is 1.

Lets's calculate GCF of 262,1817

Greatest Common Factor (GCF) of 262,1817 By Common Division

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

Greatest Common Factor of 262,1817 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,1817 By Matching Biggest Common Factor Method

Now, list down the factors of 262

:

1,2,131,262

Now, list down the factors of 1817

:

1,23,79,1817

Greatest Common Factor

We found the factors 262,1817 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1817 is 1.

Lets's calculate LCM of 970,498

Lowest Common Multiple of 970,498 using Common Division

2 970, 498
485, 249

∴ So the LCM of the given numbers is 2 x 485 x 249 = 241530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/241530

Therefore, the GCF of Fractions 262/970,1817/498 is 1/241530

Least Common Multiple of 970,498 with GCF Formula

Least Common Multiple of 970,498 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 970,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,498) = 2

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

GCF(970,498) x common factors =2 x 1 = 2

LCM(970,498) = ( 970 × 498 ) / 2

LCM(970,498) = 483060 / 2

LCM(970,498) = 241530


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FAQs on GCF of Fractions of 262/970, 1817/498

1. What is the HCF of 262,1817?

The HCF of 262,1817 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 262/970, 1817/498?

Answer: GCF of Numerators as per given numbers 262/970, 1817/498 is

GCF of Numerators i.e. for 262,1817 is 1

LCM of denominators i.e. for 970,498 is 241530.

Thus, GCF of Fractions is 1/241530.Finally, GCF of Fractions for 262/970, 1817/498 is 1/241530.