Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8892/495,6246/6233
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 8892,6246
Greatest Common Factor of Numerators i.e. GCF of 8892,6246 is 18 .
LCM of Denominators means LCM of 495,6233 as per the given fractions.
LCM of 495,6233 is 3085335 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8892,6246
2 | 8892, 6246 |
3 | 4446, 3123 |
3 | 1482, 1041 |
494, 347 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 8892
List of positive integer factors of 8892 that divides 8892 without a remainder.
1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892
Factors of 6246
List of positive integer factors of 6246 that divides 6246 without a remainder.
1,2,3,6,9,18,347,694,1041,2082,3123,6246
Greatest Common Factor
We found the factors 8892,6246 . The biggest common factor number is the GCF number.
So the greatest common factor 8892,6246 is 18.
Lets's calculate LCM of 495,6233
Given numbers has no common factors except 1. So, there LCM is their product i.e 3085335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3085335
Therefore, the GCF of Fractions 8892/495,6246/6233 is 18/3085335
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 495,6233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,6233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,6233) x common factors =1 x 1 = 1
LCM(495,6233) = ( 495 × 6233 ) / 1
LCM(495,6233) = 3085335 / 1
LCM(495,6233) = 3085335
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 8892/495, 6246/6233?
Answer: GCF of Numerators as per given numbers 8892/495, 6246/6233 is
GCF of Numerators i.e. for 8892,6246 is 18
LCM of denominators i.e. for 495,6233 is 3085335.
Thus, GCF of Fractions is 18/3085335.Finally, GCF of Fractions for 8892/495, 6246/6233 is 18/3085335.