Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2616/967,1784/2232
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 2616,1784
Greatest Common Factor of Numerators i.e. GCF of 2616,1784 is 8 .
LCM of Denominators means LCM of 967,2232 as per the given fractions.
LCM of 967,2232 is 2158344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2616,1784
2 | 2616, 1784 |
2 | 1308, 892 |
2 | 654, 446 |
327, 223 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 2616
List of positive integer factors of 2616 that divides 2616 without a remainder.
1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616
Factors of 1784
List of positive integer factors of 1784 that divides 1784 without a remainder.
1,2,4,8,223,446,892,1784
Greatest Common Factor
We found the factors 2616,1784 . The biggest common factor number is the GCF number.
So the greatest common factor 2616,1784 is 8.
Lets's calculate LCM of 967,2232
Given numbers has no common factors except 1. So, there LCM is their product i.e 2158344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2158344
Therefore, the GCF of Fractions 2616/967,1784/2232 is 8/2158344
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 967,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,2232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,2232) x common factors =1 x 1 = 1
LCM(967,2232) = ( 967 × 2232 ) / 1
LCM(967,2232) = 2158344 / 1
LCM(967,2232) = 2158344
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 2616/967, 1784/2232?
Answer: GCF of Numerators as per given numbers 2616/967, 1784/2232 is
GCF of Numerators i.e. for 2616,1784 is 8
LCM of denominators i.e. for 967,2232 is 2158344.
Thus, GCF of Fractions is 8/2158344.Finally, GCF of Fractions for 2616/967, 1784/2232 is 8/2158344.