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GCF of 345/595, 726/108

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 345/595, 726/108 i.e 3/64260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 345/595, 726/108.

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 345/595,726/108?

Given fractions are 345/595,726/108

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 345/595,726/108, numerators are 345,726

Denominators are 595,108

The GCF of 345,726 is 3 .

LCM of 595,108 is 64260.

The greatest common factor of 345/595,726/108 = [GCF of 345,726]/[LCM of 595,108]= 3/64260

Therefore, the GCF of 345/595,726/108 is 3/64260.

Greatest Common Factor of 345,726

To find the highest common factor of 345,726, we have to find the factors of both numbers and list the highest common factor.

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The HCF of 345,726 is 3.

Lets's calculate GCF of 345,726

Greatest Common Factor (GCF) of 345,726 By Common Division

3 345, 726
115, 242

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 345,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,726 By Matching Biggest Common Factor Method

Now, list down the factors of 345

:

1,3,5,15,23,69,115,345

Now, list down the factors of 726

:

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 345,726 . The biggest common factor number is the GCF number.
So the greatest common factor 345,726 is 3.

Lets's calculate LCM of 595,108

Lowest Common Multiple of 595,108 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 64260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/64260

Therefore, the GCF of Fractions 345/595,726/108 is 3/64260

Least Common Multiple of 595,108 with GCF Formula

Least Common Multiple of 595,108 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 595,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,108) = 1

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

GCF(595,108) x common factors =1 x 1 = 1

LCM(595,108) = ( 595 × 108 ) / 1

LCM(595,108) = 64260 / 1

LCM(595,108) = 64260


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FAQs on GCF of Fractions of 345/595, 726/108

1. What is the HCF of 345,726?

The HCF of 345,726 is 3

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 345/595, 726/108?

Answer: GCF of Numerators as per given numbers 345/595, 726/108 is

GCF of Numerators i.e. for 345,726 is 3

LCM of denominators i.e. for 595,108 is 64260.

Thus, GCF of Fractions is 3/64260.Finally, GCF of Fractions for 345/595, 726/108 is 3/64260.