Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 634/31,951/1043
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 634,951
Greatest Common Factor of Numerators i.e. GCF of 634,951 is 317 .
LCM of Denominators means LCM of 31,1043 as per the given fractions.
LCM of 31,1043 is 32333 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 634,951
317 | 634, 951 |
2, 3 |
∴ So the GCF of the given numbers is 317 = 317
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 634,951 . The biggest common factor number is the GCF number.
So the greatest common factor 634,951 is 317.
Lets's calculate LCM of 31,1043
Given numbers has no common factors except 1. So, there LCM is their product i.e 32333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 317/32333
Therefore, the GCF of Fractions 634/31,951/1043 is 317/32333
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 31,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,1043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,1043) x common factors =1 x 1 = 1
LCM(31,1043) = ( 31 × 1043 ) / 1
LCM(31,1043) = 32333 / 1
LCM(31,1043) = 32333
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 634/31, 951/1043?
Answer: GCF of Numerators as per given numbers 634/31, 951/1043 is
GCF of Numerators i.e. for 634,951 is 317
LCM of denominators i.e. for 31,1043 is 32333.
Thus, GCF of Fractions is 317/32333.Finally, GCF of Fractions for 634/31, 951/1043 is 317/32333.