Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/29,12/92,837/683
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 72,12,837
Greatest Common Factor of Numerators i.e. GCF of 72,12,837 is 3 .
LCM of Denominators means LCM of 29,92,683 as per the given fractions.
LCM of 29,92,683 is 1822244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,12,837
3 | 72, 12, 837 |
24, 4, 279 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 72,12,837 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,837 is 3.
Lets's calculate LCM of 29,92,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 1822244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1822244
Therefore, the GCF of Fractions 72/29,12/92,837/683 is 3/1822244
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 29,92,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,92,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,92,683) x common factors =1 x 1 = 1
LCM(29,92,683) = ( 29 × 92 × 683 ) / 1
LCM(29,92,683) = 1822244 / 1
LCM(29,92,683) = 1822244
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 72/29, 12/92, 837/683?
Answer: GCF of Numerators as per given numbers 72/29, 12/92, 837/683 is
GCF of Numerators i.e. for 72,12,837 is 3
LCM of denominators i.e. for 29,92,683 is 1822244.
Thus, GCF of Fractions is 3/1822244.Finally, GCF of Fractions for 72/29, 12/92, 837/683 is 3/1822244.