Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4982/43,4230/169
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 4982,4230
Greatest Common Factor of Numerators i.e. GCF of 4982,4230 is 94 .
LCM of Denominators means LCM of 43,169 as per the given fractions.
LCM of 43,169 is 7267 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4982,4230
2 | 4982, 4230 |
47 | 2491, 2115 |
53, 45 |
∴ So the GCF of the given numbers is 2 x 47 = 94
Factors of 4982
List of positive integer factors of 4982 that divides 4982 without a remainder.
1,2,47,53,94,106,2491,4982
Factors of 4230
List of positive integer factors of 4230 that divides 4230 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 4982,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,4230 is 94.
Lets's calculate LCM of 43,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 7267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/7267
Therefore, the GCF of Fractions 4982/43,4230/169 is 94/7267
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 43,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,169) x common factors =1 x 1 = 1
LCM(43,169) = ( 43 × 169 ) / 1
LCM(43,169) = 7267 / 1
LCM(43,169) = 7267
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 4982/43, 4230/169?
Answer: GCF of Numerators as per given numbers 4982/43, 4230/169 is
GCF of Numerators i.e. for 4982,4230 is 94
LCM of denominators i.e. for 43,169 is 7267.
Thus, GCF of Fractions is 94/7267.Finally, GCF of Fractions for 4982/43, 4230/169 is 94/7267.