Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/79,625/22,316/988
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 927,625,316
Greatest Common Factor of Numerators i.e. GCF of 927,625,316 is 1 .
LCM of Denominators means LCM of 79,22,988 as per the given fractions.
LCM of 79,22,988 is 858572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,625,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 927,625,316 . The biggest common factor number is the GCF number.
So the greatest common factor 927,625,316 is 1.
Lets's calculate LCM of 79,22,988
2 | 79, 22, 988 |
79, 11, 494 |
∴ So the LCM of the given numbers is 2 x 79 x 11 x 494 = 858572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858572
Therefore, the GCF of Fractions 927/79,625/22,316/988 is 1/858572
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 79,22,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,22,988) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,22,988) x common factors =1 x 2 = 2
LCM(79,22,988) = ( 79 × 22 × 988 ) / 2
LCM(79,22,988) = 1717144 / 2
LCM(79,22,988) = 858572
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 927/79, 625/22, 316/988?
Answer: GCF of Numerators as per given numbers 927/79, 625/22, 316/988 is
GCF of Numerators i.e. for 927,625,316 is 1
LCM of denominators i.e. for 79,22,988 is 858572.
Thus, GCF of Fractions is 1/858572.Finally, GCF of Fractions for 927/79, 625/22, 316/988 is 1/858572.