Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9678/449,9496/550
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 9678,9496
Greatest Common Factor of Numerators i.e. GCF of 9678,9496 is 2 .
LCM of Denominators means LCM of 449,550 as per the given fractions.
LCM of 449,550 is 246950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9678,9496
2 | 9678, 9496 |
4839, 4748 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9678
List of positive integer factors of 9678 that divides 9678 without a remainder.
1,2,3,6,1613,3226,4839,9678
Factors of 9496
List of positive integer factors of 9496 that divides 9496 without a remainder.
1,2,4,8,1187,2374,4748,9496
Greatest Common Factor
We found the factors 9678,9496 . The biggest common factor number is the GCF number.
So the greatest common factor 9678,9496 is 2.
Lets's calculate LCM of 449,550
Given numbers has no common factors except 1. So, there LCM is their product i.e 246950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246950
Therefore, the GCF of Fractions 9678/449,9496/550 is 2/246950
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 449,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,550) x common factors =1 x 1 = 1
LCM(449,550) = ( 449 × 550 ) / 1
LCM(449,550) = 246950 / 1
LCM(449,550) = 246950
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 9678/449, 9496/550?
Answer: GCF of Numerators as per given numbers 9678/449, 9496/550 is
GCF of Numerators i.e. for 9678,9496 is 2
LCM of denominators i.e. for 449,550 is 246950.
Thus, GCF of Fractions is 2/246950.Finally, GCF of Fractions for 9678/449, 9496/550 is 2/246950.