Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2392/62,4192/953
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 2392,4192
Greatest Common Factor of Numerators i.e. GCF of 2392,4192 is 8 .
LCM of Denominators means LCM of 62,953 as per the given fractions.
LCM of 62,953 is 59086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2392,4192
2 | 2392, 4192 |
2 | 1196, 2096 |
2 | 598, 1048 |
299, 524 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 2392
List of positive integer factors of 2392 that divides 2392 without a remainder.
1,2,4,8,13,23,26,46,52,92,104,184,299,598,1196,2392
Factors of 4192
List of positive integer factors of 4192 that divides 4192 without a remainder.
1,2,4,8,16,32,131,262,524,1048,2096,4192
Greatest Common Factor
We found the factors 2392,4192 . The biggest common factor number is the GCF number.
So the greatest common factor 2392,4192 is 8.
Lets's calculate LCM of 62,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 59086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/59086
Therefore, the GCF of Fractions 2392/62,4192/953 is 8/59086
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 62,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,953) x common factors =1 x 1 = 1
LCM(62,953) = ( 62 × 953 ) / 1
LCM(62,953) = 59086 / 1
LCM(62,953) = 59086
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 2392/62, 4192/953?
Answer: GCF of Numerators as per given numbers 2392/62, 4192/953 is
GCF of Numerators i.e. for 2392,4192 is 8
LCM of denominators i.e. for 62,953 is 59086.
Thus, GCF of Fractions is 8/59086.Finally, GCF of Fractions for 2392/62, 4192/953 is 8/59086.