Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/152,776/881,153/775
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 222,776,153
Greatest Common Factor of Numerators i.e. GCF of 222,776,153 is 1 .
LCM of Denominators means LCM of 152,881,775 as per the given fractions.
LCM of 152,881,775 is 103781800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 222,776,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 222,776,153 . The biggest common factor number is the GCF number.
So the greatest common factor 222,776,153 is 1.
Lets's calculate LCM of 152,881,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 103781800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103781800
Therefore, the GCF of Fractions 222/152,776/881,153/775 is 1/103781800
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 152,881,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,881,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,881,775) x common factors =1 x 1 = 1
LCM(152,881,775) = ( 152 × 881 × 775 ) / 1
LCM(152,881,775) = 103781800 / 1
LCM(152,881,775) = 103781800
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 222/152, 776/881, 153/775?
Answer: GCF of Numerators as per given numbers 222/152, 776/881, 153/775 is
GCF of Numerators i.e. for 222,776,153 is 1
LCM of denominators i.e. for 152,881,775 is 103781800.
Thus, GCF of Fractions is 1/103781800.Finally, GCF of Fractions for 222/152, 776/881, 153/775 is 1/103781800.