Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8424/372,4911/1171
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 8424,4911
Greatest Common Factor of Numerators i.e. GCF of 8424,4911 is 3 .
LCM of Denominators means LCM of 372,1171 as per the given fractions.
LCM of 372,1171 is 435612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8424,4911
3 | 8424, 4911 |
2808, 1637 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8424
List of positive integer factors of 8424 that divides 8424 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424
Factors of 4911
List of positive integer factors of 4911 that divides 4911 without a remainder.
1,3,1637,4911
Greatest Common Factor
We found the factors 8424,4911 . The biggest common factor number is the GCF number.
So the greatest common factor 8424,4911 is 3.
Lets's calculate LCM of 372,1171
Given numbers has no common factors except 1. So, there LCM is their product i.e 435612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/435612
Therefore, the GCF of Fractions 8424/372,4911/1171 is 3/435612
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 372,1171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,1171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,1171) x common factors =1 x 1 = 1
LCM(372,1171) = ( 372 × 1171 ) / 1
LCM(372,1171) = 435612 / 1
LCM(372,1171) = 435612
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 8424/372, 4911/1171?
Answer: GCF of Numerators as per given numbers 8424/372, 4911/1171 is
GCF of Numerators i.e. for 8424,4911 is 3
LCM of denominators i.e. for 372,1171 is 435612.
Thus, GCF of Fractions is 3/435612.Finally, GCF of Fractions for 8424/372, 4911/1171 is 3/435612.