How to Find GCF of 89/725, 76/132, 422/232?

GCF of 89/725, 76/132, 422/232

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 89/725, 76/132, 422/232 i.e 1/191400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/725, 76/132, 422/232.

Enter two or more fractions separated by "commas"

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

What is the GCF of 89/725,76/132,422/232?

Given fractions are 89/725,76/132,422/232

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 89/725,76/132,422/232, numerators are 89,76,422

Denominators are 725,132,232

The GCF of 89,76,422 is 1 .

LCM of 725,132,232 is 191400.

The greatest common factor of 89/725,76/132,422/232 = [GCF of 89,76,422]/[LCM of 725,132,232]= 1/191400

Therefore, the GCF of 89/725,76/132,422/232 is 1/191400.

Greatest Common Factor of 89,76,422

To find the highest common factor of 89,76,422, we have to find the factors of both numbers and list the highest common factor.

The factors of 89 are 1, 89

The factors of 76 are 1, 2, 4, 19, 38, 76

The factors of 422 are 1, 2, 211, 422

The HCF of 89,76,422 is 1.

Lets's calculate GCF of 89,76,422

Greatest Common Factor (GCF) of 89,76,422 By Common Division

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

Greatest Common Factor of 89,76,422 By Matching Biggest Common Factor Method

Now, list down the factors of 89

1,89

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 422

1,2,211,422

Greatest Common Factor

We found the factors 89,76,422 . The biggest common factor number is the GCF number.
So the greatest common factor 89,76,422 is 1.

Lets's calculate LCM of 725,132,232

Lowest Common Multiple of 725,132,232 using Common Division

2	725, 132, 232
2	725, 66, 116
29	725, 33, 58
	25, 33, 2

∴ So the LCM of the given numbers is 2 x 2 x 29 x 25 x 33 x 2 = 191400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191400

Therefore, the GCF of Fractions 89/725,76/132,422/232 is 1/191400

Least Common Multiple of 725,132,232 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 725,132,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,132,232) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(725,132,232) x common factors =1 x 116 = 116

LCM(725,132,232) = ( 725 × 132 × 232 ) / 116

LCM(725,132,232) = 22202400 / 116

LCM(725,132,232) = 191400

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FAQs on GCF of Fractions of 89/725, 76/132, 422/232

1. What is the HCF of 89,76,422?

The HCF of 89,76,422 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 89/725, 76/132, 422/232?

Answer: GCF of Numerators as per given numbers 89/725, 76/132, 422/232 is

GCF of Numerators i.e. for 89,76,422 is 1

LCM of denominators i.e. for 725,132,232 is 191400.

Thus, GCF of Fractions is 1/191400.Finally, GCF of Fractions for 89/725, 76/132, 422/232 is 1/191400.