Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/91,38/78,85/553,381/986
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 1,38,85,381
Greatest Common Factor of Numerators i.e. GCF of 1,38,85,381 is 1 .
LCM of Denominators means LCM of 91,78,553,986 as per the given fractions.
LCM of 91,78,553,986 is 21265062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,38,85,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Greatest Common Factor
We found the factors 1,38,85,381 . The biggest common factor number is the GCF number.
So the greatest common factor 1,38,85,381 is 1.
Lets's calculate LCM of 91,78,553,986
2 | 91, 78, 553, 986 |
7 | 91, 39, 553, 493 |
13 | 13, 39, 79, 493 |
1, 3, 79, 493 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 3 x 79 x 493 = 21265062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21265062
Therefore, the GCF of Fractions 1/91,38/78,85/553,381/986 is 1/21265062
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 91,78,553,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,78,553,986) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(91,78,553,986) x common factors =1 x 182 = 182
LCM(91,78,553,986) = ( 91 × 78 × 553 × 986 ) / 182
LCM(91,78,553,986) = 3870241284 / 182
LCM(91,78,553,986) = 21265062
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 1/91, 38/78, 85/553, 381/986?
Answer: GCF of Numerators as per given numbers 1/91, 38/78, 85/553, 381/986 is
GCF of Numerators i.e. for 1,38,85,381 is 1
LCM of denominators i.e. for 91,78,553,986 is 21265062.
Thus, GCF of Fractions is 1/21265062.Finally, GCF of Fractions for 1/91, 38/78, 85/553, 381/986 is 1/21265062.