Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/94,86/72,20/623,651/198
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 4,86,20,651
Greatest Common Factor of Numerators i.e. GCF of 4,86,20,651 is 1 .
LCM of Denominators means LCM of 94,72,623,198 as per the given fractions.
LCM of 94,72,623,198 is 23190552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,86,20,651
∴ 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 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 4,86,20,651 . The biggest common factor number is the GCF number.
So the greatest common factor 4,86,20,651 is 1.
Lets's calculate LCM of 94,72,623,198
2 | 94, 72, 623, 198 |
3 | 47, 36, 623, 99 |
3 | 47, 12, 623, 33 |
47, 4, 623, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 47 x 4 x 623 x 11 = 23190552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23190552
Therefore, the GCF of Fractions 4/94,86/72,20/623,651/198 is 1/23190552
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 94,72,623,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,72,623,198) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(94,72,623,198) x common factors =1 x 36 = 36
LCM(94,72,623,198) = ( 94 × 72 × 623 × 198 ) / 36
LCM(94,72,623,198) = 834859872 / 36
LCM(94,72,623,198) = 23190552
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 4/94, 86/72, 20/623, 651/198?
Answer: GCF of Numerators as per given numbers 4/94, 86/72, 20/623, 651/198 is
GCF of Numerators i.e. for 4,86,20,651 is 1
LCM of denominators i.e. for 94,72,623,198 is 23190552.
Thus, GCF of Fractions is 1/23190552.Finally, GCF of Fractions for 4/94, 86/72, 20/623, 651/198 is 1/23190552.