Greatest Common Factor of 9030/52, 1905/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9030/52, 1905/681

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 9030/52,1905/681

Given fractions are 9030/52,1905/681

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 9030,1905

Greatest Common Factor of Numerators i.e. GCF of 9030,1905 is 15 .

LCM of Denominators means LCM of 52,681 as per the given fractions.

LCM of 52,681 is 35412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9030,1905

GCF of Fractions 9030/52,1905/681 is 15/35412

3 9030, 1905
5 3010, 635
602, 127

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 9030,1905 By Matching Biggest Common Factor Method

Greatest Common Factor of 9030,1905 By Matching Biggest Common Factor Method

Factors of 9030

List of positive integer factors of 9030 that divides 9030 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030

Factors of 1905

List of positive integer factors of 1905 that divides 1905 without a remainder.

1,3,5,15,127,381,635,1905

Greatest Common Factor

We found the factors 9030,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 9030,1905 is 15.

Lets's calculate LCM of 52,681

Given numbers has no common factors except 1. So, there LCM is their product i.e 35412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/35412

Therefore, the GCF of Fractions 9030/52,1905/681 is 15/35412

Least Common Multiple of 52,681 with GCF Formula

Least Common Multiple of 52,681 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 52,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,681) = 1

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

GCF(52,681) x common factors =1 x 1 = 1

LCM(52,681) = ( 52 × 681 ) / 1

LCM(52,681) = 35412 / 1

LCM(52,681) = 35412


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 9030/52, 1905/681

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 9030/52, 1905/681?

Answer: GCF of Numerators as per given numbers 9030/52, 1905/681 is

GCF of Numerators i.e. for 9030,1905 is 15

LCM of denominators i.e. for 52,681 is 35412.

Thus, GCF of Fractions is 15/35412.Finally, GCF of Fractions for 9030/52, 1905/681 is 15/35412.