Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/376,2970/9760
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 700,2970
Greatest Common Factor of Numerators i.e. GCF of 700,2970 is 10 .
LCM of Denominators means LCM of 376,9760 as per the given fractions.
LCM of 376,9760 is 458720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,2970
2 | 700, 2970 |
5 | 350, 1485 |
70, 297 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 2970
List of positive integer factors of 2970 that divides 2970 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 700,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 700,2970 is 10.
Lets's calculate LCM of 376,9760
2 | 376, 9760 |
2 | 188, 4880 |
2 | 94, 2440 |
47, 1220 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 1220 = 458720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/458720
Therefore, the GCF of Fractions 700/376,2970/9760 is 10/458720
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 376,9760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,9760) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(376,9760) x common factors =8 x 1 = 8
LCM(376,9760) = ( 376 × 9760 ) / 8
LCM(376,9760) = 3669760 / 8
LCM(376,9760) = 458720
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 700/376, 2970/9760?
Answer: GCF of Numerators as per given numbers 700/376, 2970/9760 is
GCF of Numerators i.e. for 700,2970 is 10
LCM of denominators i.e. for 376,9760 is 458720.
Thus, GCF of Fractions is 10/458720.Finally, GCF of Fractions for 700/376, 2970/9760 is 10/458720.