Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/221,292/119
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 72,292
Greatest Common Factor of Numerators i.e. GCF of 72,292 is 4 .
LCM of Denominators means LCM of 221,119 as per the given fractions.
LCM of 221,119 is 1547 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,292
2 | 72, 292 |
2 | 36, 146 |
18, 73 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 72,292 . The biggest common factor number is the GCF number.
So the greatest common factor 72,292 is 4.
Lets's calculate LCM of 221,119
17 | 221, 119 |
13, 7 |
∴ So the LCM of the given numbers is 17 x 13 x 7 = 1547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1547
Therefore, the GCF of Fractions 72/221,292/119 is 4/1547
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 221,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,119) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(221,119) x common factors =17 x 1 = 17
LCM(221,119) = ( 221 × 119 ) / 17
LCM(221,119) = 26299 / 17
LCM(221,119) = 1547
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 72/221, 292/119?
Answer: GCF of Numerators as per given numbers 72/221, 292/119 is
GCF of Numerators i.e. for 72,292 is 4
LCM of denominators i.e. for 221,119 is 1547.
Thus, GCF of Fractions is 4/1547.Finally, GCF of Fractions for 72/221, 292/119 is 4/1547.