Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/314,4900/456
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 357,4900
Greatest Common Factor of Numerators i.e. GCF of 357,4900 is 7 .
LCM of Denominators means LCM of 314,456 as per the given fractions.
LCM of 314,456 is 71592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,4900
7 | 357, 4900 |
51, 700 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 4900
List of positive integer factors of 4900 that divides 4900 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Greatest Common Factor
We found the factors 357,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 357,4900 is 7.
Lets's calculate LCM of 314,456
2 | 314, 456 |
157, 228 |
∴ So the LCM of the given numbers is 2 x 157 x 228 = 71592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/71592
Therefore, the GCF of Fractions 357/314,4900/456 is 7/71592
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 314,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,456) x common factors =2 x 1 = 2
LCM(314,456) = ( 314 × 456 ) / 2
LCM(314,456) = 143184 / 2
LCM(314,456) = 71592
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 357/314, 4900/456?
Answer: GCF of Numerators as per given numbers 357/314, 4900/456 is
GCF of Numerators i.e. for 357,4900 is 7
LCM of denominators i.e. for 314,456 is 71592.
Thus, GCF of Fractions is 7/71592.Finally, GCF of Fractions for 357/314, 4900/456 is 7/71592.