Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2652/923,6700/2690
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 2652,6700
Greatest Common Factor of Numerators i.e. GCF of 2652,6700 is 4 .
LCM of Denominators means LCM of 923,2690 as per the given fractions.
LCM of 923,2690 is 2482870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2652,6700
2 | 2652, 6700 |
2 | 1326, 3350 |
663, 1675 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2652
List of positive integer factors of 2652 that divides 2652 without a remainder.
1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Factors of 6700
List of positive integer factors of 6700 that divides 6700 without a remainder.
1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700
Greatest Common Factor
We found the factors 2652,6700 . The biggest common factor number is the GCF number.
So the greatest common factor 2652,6700 is 4.
Lets's calculate LCM of 923,2690
Given numbers has no common factors except 1. So, there LCM is their product i.e 2482870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2482870
Therefore, the GCF of Fractions 2652/923,6700/2690 is 4/2482870
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 923,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,2690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,2690) x common factors =1 x 1 = 1
LCM(923,2690) = ( 923 × 2690 ) / 1
LCM(923,2690) = 2482870 / 1
LCM(923,2690) = 2482870
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 2652/923, 6700/2690?
Answer: GCF of Numerators as per given numbers 2652/923, 6700/2690 is
GCF of Numerators i.e. for 2652,6700 is 4
LCM of denominators i.e. for 923,2690 is 2482870.
Thus, GCF of Fractions is 4/2482870.Finally, GCF of Fractions for 2652/923, 6700/2690 is 4/2482870.