Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9192/947,9118/7631
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 9192,9118
Greatest Common Factor of Numerators i.e. GCF of 9192,9118 is 2 .
LCM of Denominators means LCM of 947,7631 as per the given fractions.
LCM of 947,7631 is 7226557 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9192,9118
2 | 9192, 9118 |
4596, 4559 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9192
List of positive integer factors of 9192 that divides 9192 without a remainder.
1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Factors of 9118
List of positive integer factors of 9118 that divides 9118 without a remainder.
1,2,47,94,97,194,4559,9118
Greatest Common Factor
We found the factors 9192,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 9192,9118 is 2.
Lets's calculate LCM of 947,7631
Given numbers has no common factors except 1. So, there LCM is their product i.e 7226557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7226557
Therefore, the GCF of Fractions 9192/947,9118/7631 is 2/7226557
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 947,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,7631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,7631) x common factors =1 x 1 = 1
LCM(947,7631) = ( 947 × 7631 ) / 1
LCM(947,7631) = 7226557 / 1
LCM(947,7631) = 7226557
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 9192/947, 9118/7631?
Answer: GCF of Numerators as per given numbers 9192/947, 9118/7631 is
GCF of Numerators i.e. for 9192,9118 is 2
LCM of denominators i.e. for 947,7631 is 7226557.
Thus, GCF of Fractions is 2/7226557.Finally, GCF of Fractions for 9192/947, 9118/7631 is 2/7226557.