How to Find GCF of 42/89, 93/10, 716/510?

GCF of 42/89, 93/10, 716/510

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 42/89, 93/10, 716/510 i.e 1/45390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/89, 93/10, 716/510.

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 42/89,93/10,716/510?

Given fractions are 42/89,93/10,716/510

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 42/89,93/10,716/510, numerators are 42,93,716

Denominators are 89,10,510

The GCF of 42,93,716 is 1 .

LCM of 89,10,510 is 45390.

The greatest common factor of 42/89,93/10,716/510 = [GCF of 42,93,716]/[LCM of 89,10,510]= 1/45390

Therefore, the GCF of 42/89,93/10,716/510 is 1/45390.

Greatest Common Factor of 42,93,716

To find the highest common factor of 42,93,716, we have to find the factors of both numbers and list the highest common factor.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 93 are 1, 3, 31, 93

The factors of 716 are 1, 2, 4, 179, 358, 716

The HCF of 42,93,716 is 1.

Lets's calculate GCF of 42,93,716

Greatest Common Factor (GCF) of 42,93,716 By Common Division

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

Greatest Common Factor of 42,93,716 By Matching Biggest Common Factor Method

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 93

1,3,31,93

Now, list down the factors of 716

1,2,4,179,358,716

Greatest Common Factor

We found the factors 42,93,716 . The biggest common factor number is the GCF number.
So the greatest common factor 42,93,716 is 1.

Lets's calculate LCM of 89,10,510

Lowest Common Multiple of 89,10,510 using Common Division

2	89, 10, 510
5	89, 5, 255
	89, 1, 51

∴ So the LCM of the given numbers is 2 x 5 x 89 x 1 x 51 = 45390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45390

Therefore, the GCF of Fractions 42/89,93/10,716/510 is 1/45390

Least Common Multiple of 89,10,510 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 89,10,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,10,510) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(89,10,510) x common factors =1 x 10 = 10

LCM(89,10,510) = ( 89 × 10 × 510 ) / 10

LCM(89,10,510) = 453900 / 10

LCM(89,10,510) = 45390

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 42/89, 93/10, 716/510

1. What is the HCF of 42,93,716?

The HCF of 42,93,716 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 42/89, 93/10, 716/510?

Answer: GCF of Numerators as per given numbers 42/89, 93/10, 716/510 is

GCF of Numerators i.e. for 42,93,716 is 1

LCM of denominators i.e. for 89,10,510 is 45390.

Thus, GCF of Fractions is 1/45390.Finally, GCF of Fractions for 42/89, 93/10, 716/510 is 1/45390.