Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7186/807,8580/218
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 7186,8580
Greatest Common Factor of Numerators i.e. GCF of 7186,8580 is 2 .
LCM of Denominators means LCM of 807,218 as per the given fractions.
LCM of 807,218 is 175926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7186,8580
2 | 7186, 8580 |
3593, 4290 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7186
List of positive integer factors of 7186 that divides 7186 without a remainder.
1,2,3593,7186
Factors of 8580
List of positive integer factors of 8580 that divides 8580 without a remainder.
1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580
Greatest Common Factor
We found the factors 7186,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 7186,8580 is 2.
Lets's calculate LCM of 807,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 175926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/175926
Therefore, the GCF of Fractions 7186/807,8580/218 is 2/175926
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 807,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,218) x common factors =1 x 1 = 1
LCM(807,218) = ( 807 × 218 ) / 1
LCM(807,218) = 175926 / 1
LCM(807,218) = 175926
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 7186/807, 8580/218?
Answer: GCF of Numerators as per given numbers 7186/807, 8580/218 is
GCF of Numerators i.e. for 7186,8580 is 2
LCM of denominators i.e. for 807,218 is 175926.
Thus, GCF of Fractions is 2/175926.Finally, GCF of Fractions for 7186/807, 8580/218 is 2/175926.