Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 223/767,292/222,388/420
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 223,292,388
Greatest Common Factor of Numerators i.e. GCF of 223,292,388 is 1 .
LCM of Denominators means LCM of 767,222,420 as per the given fractions.
LCM of 767,222,420 is 11919180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 223,292,388
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 223,292,388 . The biggest common factor number is the GCF number.
So the greatest common factor 223,292,388 is 1.
Lets's calculate LCM of 767,222,420
2 | 767, 222, 420 |
3 | 767, 111, 210 |
767, 37, 70 |
∴ So the LCM of the given numbers is 2 x 3 x 767 x 37 x 70 = 11919180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11919180
Therefore, the GCF of Fractions 223/767,292/222,388/420 is 1/11919180
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 767,222,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,222,420) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(767,222,420) x common factors =1 x 6 = 6
LCM(767,222,420) = ( 767 × 222 × 420 ) / 6
LCM(767,222,420) = 71515080 / 6
LCM(767,222,420) = 11919180
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 223/767, 292/222, 388/420?
Answer: GCF of Numerators as per given numbers 223/767, 292/222, 388/420 is
GCF of Numerators i.e. for 223,292,388 is 1
LCM of denominators i.e. for 767,222,420 is 11919180.
Thus, GCF of Fractions is 1/11919180.Finally, GCF of Fractions for 223/767, 292/222, 388/420 is 1/11919180.