Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5035/47,7410/985
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 5035,7410
Greatest Common Factor of Numerators i.e. GCF of 5035,7410 is 95 .
LCM of Denominators means LCM of 47,985 as per the given fractions.
LCM of 47,985 is 46295 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5035,7410
5 | 5035, 7410 |
19 | 1007, 1482 |
53, 78 |
∴ So the GCF of the given numbers is 5 x 19 = 95
Factors of 5035
List of positive integer factors of 5035 that divides 5035 without a remainder.
1,5,19,53,95,265,1007,5035
Factors of 7410
List of positive integer factors of 7410 that divides 7410 without a remainder.
1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 5035,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,7410 is 95.
Lets's calculate LCM of 47,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 46295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/46295
Therefore, the GCF of Fractions 5035/47,7410/985 is 95/46295
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 47,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,985) x common factors =1 x 1 = 1
LCM(47,985) = ( 47 × 985 ) / 1
LCM(47,985) = 46295 / 1
LCM(47,985) = 46295
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 5035/47, 7410/985?
Answer: GCF of Numerators as per given numbers 5035/47, 7410/985 is
GCF of Numerators i.e. for 5035,7410 is 95
LCM of denominators i.e. for 47,985 is 46295.
Thus, GCF of Fractions is 95/46295.Finally, GCF of Fractions for 5035/47, 7410/985 is 95/46295.