Greatest Common Factor of 465/61, 345/29, 505/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/61, 345/29, 505/645

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 465/61,345/29,505/645

Given fractions are 465/61,345/29,505/645

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 465,345,505

Greatest Common Factor of Numerators i.e. GCF of 465,345,505 is 5 .

LCM of Denominators means LCM of 61,29,645 as per the given fractions.

LCM of 61,29,645 is 1141005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,345,505

GCF of Fractions 465/61,345/29,505/645 is 5/1141005

5 465, 345, 505
93, 69, 101

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 465,345,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,345,505 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

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

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 465,345,505 . The biggest common factor number is the GCF number.
So the greatest common factor 465,345,505 is 5.

Lets's calculate LCM of 61,29,645

Given numbers has no common factors except 1. So, there LCM is their product i.e 1141005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1141005

Therefore, the GCF of Fractions 465/61,345/29,505/645 is 5/1141005

Least Common Multiple of 61,29,645 with GCF Formula

Least Common Multiple of 61,29,645 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 61,29,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,29,645) = 1

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

GCF(61,29,645) x common factors =1 x 1 = 1

LCM(61,29,645) = ( 61 × 29 × 645 ) / 1

LCM(61,29,645) = 1141005 / 1

LCM(61,29,645) = 1141005


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 465/61, 345/29, 505/645

1. 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.

2. What is the GCF of Fractions for 465/61, 345/29, 505/645?

Answer: GCF of Numerators as per given numbers 465/61, 345/29, 505/645 is

GCF of Numerators i.e. for 465,345,505 is 5

LCM of denominators i.e. for 61,29,645 is 1141005.

Thus, GCF of Fractions is 5/1141005.Finally, GCF of Fractions for 465/61, 345/29, 505/645 is 5/1141005.