Greatest Common Factor of 262/90, 892/29, 466/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 262/90, 892/29, 466/197

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 262/90,892/29,466/197

Given fractions are 262/90,892/29,466/197

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 262,892,466

Greatest Common Factor of Numerators i.e. GCF of 262,892,466 is 2 .

LCM of Denominators means LCM of 90,29,197 as per the given fractions.

LCM of 90,29,197 is 514170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 262,892,466

GCF of Fractions 262/90,892/29,466/197 is 2/514170

2 262, 892, 466
131, 446, 233

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 262,892,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,892,466 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 262,892,466 . The biggest common factor number is the GCF number.
So the greatest common factor 262,892,466 is 2.

Lets's calculate LCM of 90,29,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 514170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/514170

Therefore, the GCF of Fractions 262/90,892/29,466/197 is 2/514170

Least Common Multiple of 90,29,197 with GCF Formula

Least Common Multiple of 90,29,197 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 90,29,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,29,197) = 1

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

GCF(90,29,197) x common factors =1 x 1 = 1

LCM(90,29,197) = ( 90 × 29 × 197 ) / 1

LCM(90,29,197) = 514170 / 1

LCM(90,29,197) = 514170


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 262/90, 892/29, 466/197

1. 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.

2. What is the GCF of Fractions for 262/90, 892/29, 466/197?

Answer: GCF of Numerators as per given numbers 262/90, 892/29, 466/197 is

GCF of Numerators i.e. for 262,892,466 is 2

LCM of denominators i.e. for 90,29,197 is 514170.

Thus, GCF of Fractions is 2/514170.Finally, GCF of Fractions for 262/90, 892/29, 466/197 is 2/514170.