Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/851,74/455,557/546
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 18,74,557
Greatest Common Factor of Numerators i.e. GCF of 18,74,557 is 1 .
LCM of Denominators means LCM of 851,455,546 as per the given fractions.
LCM of 851,455,546 is 2323230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,74,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 18,74,557 . The biggest common factor number is the GCF number.
So the greatest common factor 18,74,557 is 1.
Lets's calculate LCM of 851,455,546
7 | 851, 455, 546 |
13 | 851, 65, 78 |
851, 5, 6 |
∴ So the LCM of the given numbers is 7 x 13 x 851 x 5 x 6 = 2323230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2323230
Therefore, the GCF of Fractions 18/851,74/455,557/546 is 1/2323230
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 851,455,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,455,546) = 1
common factors(in case of two or more numbers have common factors) = 91
GCF(851,455,546) x common factors =1 x 91 = 91
LCM(851,455,546) = ( 851 × 455 × 546 ) / 91
LCM(851,455,546) = 211413930 / 91
LCM(851,455,546) = 2323230
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 18/851, 74/455, 557/546?
Answer: GCF of Numerators as per given numbers 18/851, 74/455, 557/546 is
GCF of Numerators i.e. for 18,74,557 is 1
LCM of denominators i.e. for 851,455,546 is 2323230.
Thus, GCF of Fractions is 1/2323230.Finally, GCF of Fractions for 18/851, 74/455, 557/546 is 1/2323230.