Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 310/87,850/23,740/307
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 310,850,740
Greatest Common Factor of Numerators i.e. GCF of 310,850,740 is 10 .
LCM of Denominators means LCM of 87,23,307 as per the given fractions.
LCM of 87,23,307 is 614307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 310,850,740
2 | 310, 850, 740 |
5 | 155, 425, 370 |
31, 85, 74 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 310,850,740 . The biggest common factor number is the GCF number.
So the greatest common factor 310,850,740 is 10.
Lets's calculate LCM of 87,23,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 614307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/614307
Therefore, the GCF of Fractions 310/87,850/23,740/307 is 10/614307
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 87,23,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,23,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,23,307) x common factors =1 x 1 = 1
LCM(87,23,307) = ( 87 × 23 × 307 ) / 1
LCM(87,23,307) = 614307 / 1
LCM(87,23,307) = 614307
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 310/87, 850/23, 740/307?
Answer: GCF of Numerators as per given numbers 310/87, 850/23, 740/307 is
GCF of Numerators i.e. for 310,850,740 is 10
LCM of denominators i.e. for 87,23,307 is 614307.
Thus, GCF of Fractions is 10/614307.Finally, GCF of Fractions for 310/87, 850/23, 740/307 is 10/614307.