Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/21,66/91,31/797,624/842
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 9,66,31,624
Greatest Common Factor of Numerators i.e. GCF of 9,66,31,624 is 1 .
LCM of Denominators means LCM of 21,91,797,842 as per the given fractions.
LCM of 21,91,797,842 is 183203202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,66,31,624
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 9,66,31,624 . The biggest common factor number is the GCF number.
So the greatest common factor 9,66,31,624 is 1.
Lets's calculate LCM of 21,91,797,842
7 | 21, 91, 797, 842 |
3, 13, 797, 842 |
∴ So the LCM of the given numbers is 7 x 3 x 13 x 797 x 842 = 183203202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183203202
Therefore, the GCF of Fractions 9/21,66/91,31/797,624/842 is 1/183203202
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 21,91,797,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,91,797,842) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(21,91,797,842) x common factors =1 x 7 = 7
LCM(21,91,797,842) = ( 21 × 91 × 797 × 842 ) / 7
LCM(21,91,797,842) = 1282422414 / 7
LCM(21,91,797,842) = 183203202
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 9/21, 66/91, 31/797, 624/842?
Answer: GCF of Numerators as per given numbers 9/21, 66/91, 31/797, 624/842 is
GCF of Numerators i.e. for 9,66,31,624 is 1
LCM of denominators i.e. for 21,91,797,842 is 183203202.
Thus, GCF of Fractions is 1/183203202.Finally, GCF of Fractions for 9/21, 66/91, 31/797, 624/842 is 1/183203202.