Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 639/59,234/88,531/69
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 639,234,531
Greatest Common Factor of Numerators i.e. GCF of 639,234,531 is 9 .
LCM of Denominators means LCM of 59,88,69 as per the given fractions.
LCM of 59,88,69 is 358248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 639,234,531
3 | 639, 234, 531 |
3 | 213, 78, 177 |
71, 26, 59 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 639,234,531 . The biggest common factor number is the GCF number.
So the greatest common factor 639,234,531 is 9.
Lets's calculate LCM of 59,88,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 358248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/358248
Therefore, the GCF of Fractions 639/59,234/88,531/69 is 9/358248
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 59,88,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,88,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,88,69) x common factors =1 x 1 = 1
LCM(59,88,69) = ( 59 × 88 × 69 ) / 1
LCM(59,88,69) = 358248 / 1
LCM(59,88,69) = 358248
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 639/59, 234/88, 531/69?
Answer: GCF of Numerators as per given numbers 639/59, 234/88, 531/69 is
GCF of Numerators i.e. for 639,234,531 is 9
LCM of denominators i.e. for 59,88,69 is 358248.
Thus, GCF of Fractions is 9/358248.Finally, GCF of Fractions for 639/59, 234/88, 531/69 is 9/358248.