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GCF of 226/810, 166/132

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 226/810, 166/132 i.e 2/17820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/810, 166/132.

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 226/810,166/132?

Given fractions are 226/810,166/132

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 226/810,166/132, numerators are 226,166

Denominators are 810,132

The GCF of 226,166 is 2 .

LCM of 810,132 is 17820.

The greatest common factor of 226/810,166/132 = [GCF of 226,166]/[LCM of 810,132]= 2/17820

Therefore, the GCF of 226/810,166/132 is 2/17820.

Greatest Common Factor of 226,166

To find the highest common factor of 226,166, we have to find the factors of both numbers and list the highest common factor.

The factors of 226 are 1, 2, 113, 226

The factors of 166 are 1, 2, 83, 166

The HCF of 226,166 is 2.

Lets's calculate GCF of 226,166

Greatest Common Factor (GCF) of 226,166 By Common Division

2 226, 166
113, 83

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

Greatest Common Factor of 226,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,166 By Matching Biggest Common Factor Method

Now, list down the factors of 226

:

1,2,113,226

Now, list down the factors of 166

:

1,2,83,166

Greatest Common Factor

We found the factors 226,166 . The biggest common factor number is the GCF number.
So the greatest common factor 226,166 is 2.

Lets's calculate LCM of 810,132

Lowest Common Multiple of 810,132 using Common Division

2 810, 132
3 405, 66
135, 22

∴ So the LCM of the given numbers is 2 x 3 x 135 x 22 = 17820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17820

Therefore, the GCF of Fractions 226/810,166/132 is 2/17820

Least Common Multiple of 810,132 with GCF Formula

Least Common Multiple of 810,132 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 810,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,132) = 6

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

GCF(810,132) x common factors =6 x 1 = 6

LCM(810,132) = ( 810 × 132 ) / 6

LCM(810,132) = 106920 / 6

LCM(810,132) = 17820


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FAQs on GCF of Fractions of 226/810, 166/132

1. What is the HCF of 226,166?

The HCF of 226,166 is 2

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 226/810, 166/132?

Answer: GCF of Numerators as per given numbers 226/810, 166/132 is

GCF of Numerators i.e. for 226,166 is 2

LCM of denominators i.e. for 810,132 is 17820.

Thus, GCF of Fractions is 2/17820.Finally, GCF of Fractions for 226/810, 166/132 is 2/17820.