How to Find GCF of 42/23, 515/30, 745/173?

GCF of 42/23, 515/30, 745/173

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 42/23, 515/30, 745/173 i.e 1/119370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/23, 515/30, 745/173.

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 42/23,515/30,745/173?

Given fractions are 42/23,515/30,745/173

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 42/23,515/30,745/173, numerators are 42,515,745

Denominators are 23,30,173

The GCF of 42,515,745 is 1 .

LCM of 23,30,173 is 119370.

The greatest common factor of 42/23,515/30,745/173 = [GCF of 42,515,745]/[LCM of 23,30,173]= 1/119370

Therefore, the GCF of 42/23,515/30,745/173 is 1/119370.

Greatest Common Factor of 42,515,745

To find the highest common factor of 42,515,745, 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 515 are 1, 5, 103, 515

The factors of 745 are 1, 5, 149, 745

The HCF of 42,515,745 is 1.

Lets's calculate GCF of 42,515,745

Greatest Common Factor (GCF) of 42,515,745 By Common Division

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

Greatest Common Factor of 42,515,745 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 515

1,5,103,515

Now, list down the factors of 745

1,5,149,745

Greatest Common Factor

We found the factors 42,515,745 . The biggest common factor number is the GCF number.
So the greatest common factor 42,515,745 is 1.

Lets's calculate LCM of 23,30,173

Lowest Common Multiple of 23,30,173 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 119370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119370

Therefore, the GCF of Fractions 42/23,515/30,745/173 is 1/119370

Least Common Multiple of 23,30,173 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 23,30,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,30,173) = 1

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

GCF(23,30,173) x common factors =1 x 1 = 1

LCM(23,30,173) = ( 23 × 30 × 173 ) / 1

LCM(23,30,173) = 119370 / 1

LCM(23,30,173) = 119370

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FAQs on GCF of Fractions of 42/23, 515/30, 745/173

1. What is the HCF of 42,515,745?

The HCF of 42,515,745 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 42/23, 515/30, 745/173?

Answer: GCF of Numerators as per given numbers 42/23, 515/30, 745/173 is

GCF of Numerators i.e. for 42,515,745 is 1

LCM of denominators i.e. for 23,30,173 is 119370.

Thus, GCF of Fractions is 1/119370.Finally, GCF of Fractions for 42/23, 515/30, 745/173 is 1/119370.