Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6354/997,8738/629
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 6354,8738
Greatest Common Factor of Numerators i.e. GCF of 6354,8738 is 2 .
LCM of Denominators means LCM of 997,629 as per the given fractions.
LCM of 997,629 is 627113 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6354,8738
2 | 6354, 8738 |
3177, 4369 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6354
List of positive integer factors of 6354 that divides 6354 without a remainder.
1,2,3,6,9,18,353,706,1059,2118,3177,6354
Factors of 8738
List of positive integer factors of 8738 that divides 8738 without a remainder.
1,2,17,34,257,514,4369,8738
Greatest Common Factor
We found the factors 6354,8738 . The biggest common factor number is the GCF number.
So the greatest common factor 6354,8738 is 2.
Lets's calculate LCM of 997,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 627113
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/627113
Therefore, the GCF of Fractions 6354/997,8738/629 is 2/627113
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 997,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,629) x common factors =1 x 1 = 1
LCM(997,629) = ( 997 × 629 ) / 1
LCM(997,629) = 627113 / 1
LCM(997,629) = 627113
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 6354/997, 8738/629?
Answer: GCF of Numerators as per given numbers 6354/997, 8738/629 is
GCF of Numerators i.e. for 6354,8738 is 2
LCM of denominators i.e. for 997,629 is 627113.
Thus, GCF of Fractions is 2/627113.Finally, GCF of Fractions for 6354/997, 8738/629 is 2/627113.