Greatest Common Factor of 3007/805, 1762/3118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3007/805, 1762/3118

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 3007/805,1762/3118

Given fractions are 3007/805,1762/3118

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 3007,1762

Greatest Common Factor of Numerators i.e. GCF of 3007,1762 is 1 .

LCM of Denominators means LCM of 805,3118 as per the given fractions.

LCM of 805,3118 is 2509990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3007,1762

GCF of Fractions 3007/805,1762/3118 is 1/2509990

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

Greatest Common Factor of 3007,1762 By Matching Biggest Common Factor Method

Greatest Common Factor of 3007,1762 By Matching Biggest Common Factor Method

Factors of 3007

List of positive integer factors of 3007 that divides 3007 without a remainder.

1,31,97,3007

Factors of 1762

List of positive integer factors of 1762 that divides 1762 without a remainder.

1,2,881,1762

Greatest Common Factor

We found the factors 3007,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 3007,1762 is 1.

Lets's calculate LCM of 805,3118

Given numbers has no common factors except 1. So, there LCM is their product i.e 2509990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2509990

Therefore, the GCF of Fractions 3007/805,1762/3118 is 1/2509990

Least Common Multiple of 805,3118 with GCF Formula

Least Common Multiple of 805,3118 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 805,3118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,3118) = 1

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

GCF(805,3118) x common factors =1 x 1 = 1

LCM(805,3118) = ( 805 × 3118 ) / 1

LCM(805,3118) = 2509990 / 1

LCM(805,3118) = 2509990


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 3007/805, 1762/3118

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 3007/805, 1762/3118?

Answer: GCF of Numerators as per given numbers 3007/805, 1762/3118 is

GCF of Numerators i.e. for 3007,1762 is 1

LCM of denominators i.e. for 805,3118 is 2509990.

Thus, GCF of Fractions is 1/2509990.Finally, GCF of Fractions for 3007/805, 1762/3118 is 1/2509990.