Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1207/942,1347/9982
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 1207,1347
Greatest Common Factor of Numerators i.e. GCF of 1207,1347 is 1 .
LCM of Denominators means LCM of 942,9982 as per the given fractions.
LCM of 942,9982 is 4701522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1207,1347
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1207
List of positive integer factors of 1207 that divides 1207 without a remainder.
1,17,71,1207
Factors of 1347
List of positive integer factors of 1347 that divides 1347 without a remainder.
1,3,449,1347
Greatest Common Factor
We found the factors 1207,1347 . The biggest common factor number is the GCF number.
So the greatest common factor 1207,1347 is 1.
Lets's calculate LCM of 942,9982
2 | 942, 9982 |
471, 4991 |
∴ So the LCM of the given numbers is 2 x 471 x 4991 = 4701522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4701522
Therefore, the GCF of Fractions 1207/942,1347/9982 is 1/4701522
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 942,9982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,9982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,9982) x common factors =2 x 1 = 2
LCM(942,9982) = ( 942 × 9982 ) / 2
LCM(942,9982) = 9403044 / 2
LCM(942,9982) = 4701522
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 1207/942, 1347/9982?
Answer: GCF of Numerators as per given numbers 1207/942, 1347/9982 is
GCF of Numerators i.e. for 1207,1347 is 1
LCM of denominators i.e. for 942,9982 is 4701522.
Thus, GCF of Fractions is 1/4701522.Finally, GCF of Fractions for 1207/942, 1347/9982 is 1/4701522.