Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/939,95/918,526/173
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 19,95,526
Greatest Common Factor of Numerators i.e. GCF of 19,95,526 is 1 .
LCM of Denominators means LCM of 939,918,173 as per the given fractions.
LCM of 939,918,173 is 49708782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,95,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 19,95,526 . The biggest common factor number is the GCF number.
So the greatest common factor 19,95,526 is 1.
Lets's calculate LCM of 939,918,173
3 | 939, 918, 173 |
313, 306, 173 |
∴ So the LCM of the given numbers is 3 x 313 x 306 x 173 = 49708782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49708782
Therefore, the GCF of Fractions 19/939,95/918,526/173 is 1/49708782
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 939,918,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,918,173) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(939,918,173) x common factors =1 x 3 = 3
LCM(939,918,173) = ( 939 × 918 × 173 ) / 3
LCM(939,918,173) = 149126346 / 3
LCM(939,918,173) = 49708782
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 19/939, 95/918, 526/173?
Answer: GCF of Numerators as per given numbers 19/939, 95/918, 526/173 is
GCF of Numerators i.e. for 19,95,526 is 1
LCM of denominators i.e. for 939,918,173 is 49708782.
Thus, GCF of Fractions is 1/49708782.Finally, GCF of Fractions for 19/939, 95/918, 526/173 is 1/49708782.