Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4680/14,1700/615
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 4680,1700
Greatest Common Factor of Numerators i.e. GCF of 4680,1700 is 20 .
LCM of Denominators means LCM of 14,615 as per the given fractions.
LCM of 14,615 is 8610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4680,1700
2 | 4680, 1700 |
2 | 2340, 850 |
5 | 1170, 425 |
234, 85 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 4680
List of positive integer factors of 4680 that divides 4680 without a remainder.
1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680
Factors of 1700
List of positive integer factors of 1700 that divides 1700 without a remainder.
1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Greatest Common Factor
We found the factors 4680,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 4680,1700 is 20.
Lets's calculate LCM of 14,615
Given numbers has no common factors except 1. So, there LCM is their product i.e 8610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/8610
Therefore, the GCF of Fractions 4680/14,1700/615 is 20/8610
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 14,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,615) x common factors =1 x 1 = 1
LCM(14,615) = ( 14 × 615 ) / 1
LCM(14,615) = 8610 / 1
LCM(14,615) = 8610
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 4680/14, 1700/615?
Answer: GCF of Numerators as per given numbers 4680/14, 1700/615 is
GCF of Numerators i.e. for 4680,1700 is 20
LCM of denominators i.e. for 14,615 is 8610.
Thus, GCF of Fractions is 20/8610.Finally, GCF of Fractions for 4680/14, 1700/615 is 20/8610.