Greatest Common Factor of 3674/30, 3618/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3674/30, 3618/271

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 3674/30,3618/271

Given fractions are 3674/30,3618/271

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 3674,3618

Greatest Common Factor of Numerators i.e. GCF of 3674,3618 is 2 .

LCM of Denominators means LCM of 30,271 as per the given fractions.

LCM of 30,271 is 8130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3674,3618

GCF of Fractions 3674/30,3618/271 is 2/8130

2 3674, 3618
1837, 1809

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3674,3618 By Matching Biggest Common Factor Method

Greatest Common Factor of 3674,3618 By Matching Biggest Common Factor Method

Factors of 3674

List of positive integer factors of 3674 that divides 3674 without a remainder.

1,2,11,22,167,334,1837,3674

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Greatest Common Factor

We found the factors 3674,3618 . The biggest common factor number is the GCF number.
So the greatest common factor 3674,3618 is 2.

Lets's calculate LCM of 30,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 8130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8130

Therefore, the GCF of Fractions 3674/30,3618/271 is 2/8130

Least Common Multiple of 30,271 with GCF Formula

Least Common Multiple of 30,271 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 30,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,271) = 1

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

GCF(30,271) x common factors =1 x 1 = 1

LCM(30,271) = ( 30 × 271 ) / 1

LCM(30,271) = 8130 / 1

LCM(30,271) = 8130


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3674/30, 3618/271

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 3674/30, 3618/271?

Answer: GCF of Numerators as per given numbers 3674/30, 3618/271 is

GCF of Numerators i.e. for 3674,3618 is 2

LCM of denominators i.e. for 30,271 is 8130.

Thus, GCF of Fractions is 2/8130.Finally, GCF of Fractions for 3674/30, 3618/271 is 2/8130.