Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/163,278/872,262/915
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 244,278,262
Greatest Common Factor of Numerators i.e. GCF of 244,278,262 is 2 .
LCM of Denominators means LCM of 163,872,915 as per the given fractions.
LCM of 163,872,915 is 130054440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 244,278,262
2 | 244, 278, 262 |
122, 139, 131 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 244,278,262 . The biggest common factor number is the GCF number.
So the greatest common factor 244,278,262 is 2.
Lets's calculate LCM of 163,872,915
Given numbers has no common factors except 1. So, there LCM is their product i.e 130054440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130054440
Therefore, the GCF of Fractions 244/163,278/872,262/915 is 2/130054440
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 163,872,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,872,915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,872,915) x common factors =1 x 1 = 1
LCM(163,872,915) = ( 163 × 872 × 915 ) / 1
LCM(163,872,915) = 130054440 / 1
LCM(163,872,915) = 130054440
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 244/163, 278/872, 262/915?
Answer: GCF of Numerators as per given numbers 244/163, 278/872, 262/915 is
GCF of Numerators i.e. for 244,278,262 is 2
LCM of denominators i.e. for 163,872,915 is 130054440.
Thus, GCF of Fractions is 2/130054440.Finally, GCF of Fractions for 244/163, 278/872, 262/915 is 2/130054440.