How to Find GCF of 739/56, 175/65, 817/146?

GCF of 739/56, 175/65, 817/146

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 739/56, 175/65, 817/146 i.e 1/265720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/56, 175/65, 817/146.

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 739/56,175/65,817/146?

Given fractions are 739/56,175/65,817/146

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 739/56,175/65,817/146, numerators are 739,175,817

Denominators are 56,65,146

The GCF of 739,175,817 is 1 .

LCM of 56,65,146 is 265720.

The greatest common factor of 739/56,175/65,817/146 = [GCF of 739,175,817]/[LCM of 56,65,146]= 1/265720

Therefore, the GCF of 739/56,175/65,817/146 is 1/265720.

Greatest Common Factor of 739,175,817

To find the highest common factor of 739,175,817, we have to find the factors of both numbers and list the highest common factor.

The factors of 739 are 1, 739

The factors of 175 are 1, 5, 7, 25, 35, 175

The factors of 817 are 1, 19, 43, 817

The HCF of 739,175,817 is 1.

Lets's calculate GCF of 739,175,817

Greatest Common Factor (GCF) of 739,175,817 By Common Division

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

Greatest Common Factor of 739,175,817 By Matching Biggest Common Factor Method

Now, list down the factors of 739

1,739

Now, list down the factors of 175

1,5,7,25,35,175

Now, list down the factors of 817

1,19,43,817

Greatest Common Factor

We found the factors 739,175,817 . The biggest common factor number is the GCF number.
So the greatest common factor 739,175,817 is 1.

Lets's calculate LCM of 56,65,146

Lowest Common Multiple of 56,65,146 using Common Division

2	56, 65, 146
	28, 65, 73

∴ So the LCM of the given numbers is 2 x 28 x 65 x 73 = 265720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265720

Therefore, the GCF of Fractions 739/56,175/65,817/146 is 1/265720

Least Common Multiple of 56,65,146 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 56,65,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,65,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(56,65,146) x common factors =1 x 2 = 2

LCM(56,65,146) = ( 56 × 65 × 146 ) / 2

LCM(56,65,146) = 531440 / 2

LCM(56,65,146) = 265720

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 739/56, 175/65, 817/146

1. What is the HCF of 739,175,817?

The HCF of 739,175,817 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 739/56, 175/65, 817/146?

Answer: GCF of Numerators as per given numbers 739/56, 175/65, 817/146 is

GCF of Numerators i.e. for 739,175,817 is 1

LCM of denominators i.e. for 56,65,146 is 265720.

Thus, GCF of Fractions is 1/265720.Finally, GCF of Fractions for 739/56, 175/65, 817/146 is 1/265720.