Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9410/98,4653/228
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 9410,4653
Greatest Common Factor of Numerators i.e. GCF of 9410,4653 is 1 .
LCM of Denominators means LCM of 98,228 as per the given fractions.
LCM of 98,228 is 11172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9410,4653
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9410
List of positive integer factors of 9410 that divides 9410 without a remainder.
1,2,5,10,941,1882,4705,9410
Factors of 4653
List of positive integer factors of 4653 that divides 4653 without a remainder.
1,3,9,11,33,47,99,141,423,517,1551,4653
Greatest Common Factor
We found the factors 9410,4653 . The biggest common factor number is the GCF number.
So the greatest common factor 9410,4653 is 1.
Lets's calculate LCM of 98,228
2 | 98, 228 |
49, 114 |
∴ So the LCM of the given numbers is 2 x 49 x 114 = 11172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11172
Therefore, the GCF of Fractions 9410/98,4653/228 is 1/11172
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 98,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,228) x common factors =2 x 1 = 2
LCM(98,228) = ( 98 × 228 ) / 2
LCM(98,228) = 22344 / 2
LCM(98,228) = 11172
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 9410/98, 4653/228?
Answer: GCF of Numerators as per given numbers 9410/98, 4653/228 is
GCF of Numerators i.e. for 9410,4653 is 1
LCM of denominators i.e. for 98,228 is 11172.
Thus, GCF of Fractions is 1/11172.Finally, GCF of Fractions for 9410/98, 4653/228 is 1/11172.