Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9709/260,9112/745
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 9709,9112
Greatest Common Factor of Numerators i.e. GCF of 9709,9112 is 1 .
LCM of Denominators means LCM of 260,745 as per the given fractions.
LCM of 260,745 is 38740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9709,9112
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9709
List of positive integer factors of 9709 that divides 9709 without a remainder.
1,7,19,73,133,511,1387,9709
Factors of 9112
List of positive integer factors of 9112 that divides 9112 without a remainder.
1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Greatest Common Factor
We found the factors 9709,9112 . The biggest common factor number is the GCF number.
So the greatest common factor 9709,9112 is 1.
Lets's calculate LCM of 260,745
5 | 260, 745 |
52, 149 |
∴ So the LCM of the given numbers is 5 x 52 x 149 = 38740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38740
Therefore, the GCF of Fractions 9709/260,9112/745 is 1/38740
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 260,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,745) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(260,745) x common factors =5 x 1 = 5
LCM(260,745) = ( 260 × 745 ) / 5
LCM(260,745) = 193700 / 5
LCM(260,745) = 38740
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 9709/260, 9112/745?
Answer: GCF of Numerators as per given numbers 9709/260, 9112/745 is
GCF of Numerators i.e. for 9709,9112 is 1
LCM of denominators i.e. for 260,745 is 38740.
Thus, GCF of Fractions is 1/38740.Finally, GCF of Fractions for 9709/260, 9112/745 is 1/38740.