Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/62,93/91,82/608,318/710
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 4,93,82,318
Greatest Common Factor of Numerators i.e. GCF of 4,93,82,318 is 1 .
LCM of Denominators means LCM of 62,91,608,710 as per the given fractions.
LCM of 62,91,608,710 is 608884640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,93,82,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 4,93,82,318 . The biggest common factor number is the GCF number.
So the greatest common factor 4,93,82,318 is 1.
Lets's calculate LCM of 62,91,608,710
2 | 62, 91, 608, 710 |
31, 91, 304, 355 |
∴ So the LCM of the given numbers is 2 x 31 x 91 x 304 x 355 = 608884640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608884640
Therefore, the GCF of Fractions 4/62,93/91,82/608,318/710 is 1/608884640
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 62,91,608,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,91,608,710) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(62,91,608,710) x common factors =1 x 4 = 4
LCM(62,91,608,710) = ( 62 × 91 × 608 × 710 ) / 4
LCM(62,91,608,710) = 2435538560 / 4
LCM(62,91,608,710) = 608884640
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 4/62, 93/91, 82/608, 318/710?
Answer: GCF of Numerators as per given numbers 4/62, 93/91, 82/608, 318/710 is
GCF of Numerators i.e. for 4,93,82,318 is 1
LCM of denominators i.e. for 62,91,608,710 is 608884640.
Thus, GCF of Fractions is 1/608884640.Finally, GCF of Fractions for 4/62, 93/91, 82/608, 318/710 is 1/608884640.