Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9958/654,4582/702
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 9958,4582
Greatest Common Factor of Numerators i.e. GCF of 9958,4582 is 2 .
LCM of Denominators means LCM of 654,702 as per the given fractions.
LCM of 654,702 is 76518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9958,4582
2 | 9958, 4582 |
4979, 2291 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9958
List of positive integer factors of 9958 that divides 9958 without a remainder.
1,2,13,26,383,766,4979,9958
Factors of 4582
List of positive integer factors of 4582 that divides 4582 without a remainder.
1,2,29,58,79,158,2291,4582
Greatest Common Factor
We found the factors 9958,4582 . The biggest common factor number is the GCF number.
So the greatest common factor 9958,4582 is 2.
Lets's calculate LCM of 654,702
2 | 654, 702 |
3 | 327, 351 |
109, 117 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 117 = 76518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76518
Therefore, the GCF of Fractions 9958/654,4582/702 is 2/76518
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 654,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,702) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,702) x common factors =6 x 1 = 6
LCM(654,702) = ( 654 × 702 ) / 6
LCM(654,702) = 459108 / 6
LCM(654,702) = 76518
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 9958/654, 4582/702?
Answer: GCF of Numerators as per given numbers 9958/654, 4582/702 is
GCF of Numerators i.e. for 9958,4582 is 2
LCM of denominators i.e. for 654,702 is 76518.
Thus, GCF of Fractions is 2/76518.Finally, GCF of Fractions for 9958/654, 4582/702 is 2/76518.