Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 374/739,8925/6624
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 374,8925
Greatest Common Factor of Numerators i.e. GCF of 374,8925 is 17 .
LCM of Denominators means LCM of 739,6624 as per the given fractions.
LCM of 739,6624 is 4895136 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 374,8925
17 | 374, 8925 |
22, 525 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 8925
List of positive integer factors of 8925 that divides 8925 without a remainder.
1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors 374,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 374,8925 is 17.
Lets's calculate LCM of 739,6624
Given numbers has no common factors except 1. So, there LCM is their product i.e 4895136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4895136
Therefore, the GCF of Fractions 374/739,8925/6624 is 17/4895136
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 739,6624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,6624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,6624) x common factors =1 x 1 = 1
LCM(739,6624) = ( 739 × 6624 ) / 1
LCM(739,6624) = 4895136 / 1
LCM(739,6624) = 4895136
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 374/739, 8925/6624?
Answer: GCF of Numerators as per given numbers 374/739, 8925/6624 is
GCF of Numerators i.e. for 374,8925 is 17
LCM of denominators i.e. for 739,6624 is 4895136.
Thus, GCF of Fractions is 17/4895136.Finally, GCF of Fractions for 374/739, 8925/6624 is 17/4895136.