Greatest Common Factor of 455/67, 3220/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/67, 3220/615

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 455/67,3220/615

Given fractions are 455/67,3220/615

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 455,3220

Greatest Common Factor of Numerators i.e. GCF of 455,3220 is 35 .

LCM of Denominators means LCM of 67,615 as per the given fractions.

LCM of 67,615 is 41205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,3220

GCF of Fractions 455/67,3220/615 is 35/41205

5 455, 3220
7 91, 644
13, 92

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 455,3220 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,3220 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220

Greatest Common Factor

We found the factors 455,3220 . The biggest common factor number is the GCF number.
So the greatest common factor 455,3220 is 35.

Lets's calculate LCM of 67,615

Given numbers has no common factors except 1. So, there LCM is their product i.e 41205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/41205

Therefore, the GCF of Fractions 455/67,3220/615 is 35/41205

Least Common Multiple of 67,615 with GCF Formula

Least Common Multiple of 67,615 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 67,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,615) = 1

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

GCF(67,615) x common factors =1 x 1 = 1

LCM(67,615) = ( 67 × 615 ) / 1

LCM(67,615) = 41205 / 1

LCM(67,615) = 41205


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 455/67, 3220/615

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 455/67, 3220/615?

Answer: GCF of Numerators as per given numbers 455/67, 3220/615 is

GCF of Numerators i.e. for 455,3220 is 35

LCM of denominators i.e. for 67,615 is 41205.

Thus, GCF of Fractions is 35/41205.Finally, GCF of Fractions for 455/67, 3220/615 is 35/41205.