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GCF of 262/954, 421/404

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 262/954, 421/404 i.e 1/192708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 262/954, 421/404.

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 262/954,421/404?

Given fractions are 262/954,421/404

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 262/954,421/404, numerators are 262,421

Denominators are 954,404

The GCF of 262,421 is 1 .

LCM of 954,404 is 192708.

The greatest common factor of 262/954,421/404 = [GCF of 262,421]/[LCM of 954,404]= 1/192708

Therefore, the GCF of 262/954,421/404 is 1/192708.

Greatest Common Factor of 262,421

To find the highest common factor of 262,421, 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 421 are 1, 421

The HCF of 262,421 is 1.

Lets's calculate GCF of 262,421

Greatest Common Factor (GCF) of 262,421 By Common Division

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

Greatest Common Factor of 262,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,421 By Matching Biggest Common Factor Method

Now, list down the factors of 262

:

1,2,131,262

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 262,421 . The biggest common factor number is the GCF number.
So the greatest common factor 262,421 is 1.

Lets's calculate LCM of 954,404

Lowest Common Multiple of 954,404 using Common Division

2 954, 404
477, 202

∴ So the LCM of the given numbers is 2 x 477 x 202 = 192708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192708

Therefore, the GCF of Fractions 262/954,421/404 is 1/192708

Least Common Multiple of 954,404 with GCF Formula

Least Common Multiple of 954,404 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 954,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,404) = 2

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

GCF(954,404) x common factors =2 x 1 = 2

LCM(954,404) = ( 954 × 404 ) / 2

LCM(954,404) = 385416 / 2

LCM(954,404) = 192708


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FAQs on GCF of Fractions of 262/954, 421/404

1. What is the HCF of 262,421?

The HCF of 262,421 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 262/954, 421/404?

Answer: GCF of Numerators as per given numbers 262/954, 421/404 is

GCF of Numerators i.e. for 262,421 is 1

LCM of denominators i.e. for 954,404 is 192708.

Thus, GCF of Fractions is 1/192708.Finally, GCF of Fractions for 262/954, 421/404 is 1/192708.