Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/54,603/86,157/580
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 895,603,157
Greatest Common Factor of Numerators i.e. GCF of 895,603,157 is 1 .
LCM of Denominators means LCM of 54,86,580 as per the given fractions.
LCM of 54,86,580 is 673380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 895,603,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 895,603,157 . The biggest common factor number is the GCF number.
So the greatest common factor 895,603,157 is 1.
Lets's calculate LCM of 54,86,580
2 | 54, 86, 580 |
27, 43, 290 |
∴ So the LCM of the given numbers is 2 x 27 x 43 x 290 = 673380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673380
Therefore, the GCF of Fractions 895/54,603/86,157/580 is 1/673380
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 54,86,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,86,580) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(54,86,580) x common factors =2 x 2 = 4
LCM(54,86,580) = ( 54 × 86 × 580 ) / 4
LCM(54,86,580) = 2693520 / 4
LCM(54,86,580) = 673380
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 895/54, 603/86, 157/580?
Answer: GCF of Numerators as per given numbers 895/54, 603/86, 157/580 is
GCF of Numerators i.e. for 895,603,157 is 1
LCM of denominators i.e. for 54,86,580 is 673380.
Thus, GCF of Fractions is 1/673380.Finally, GCF of Fractions for 895/54, 603/86, 157/580 is 1/673380.