Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7000/211,1512/710
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 7000,1512
Greatest Common Factor of Numerators i.e. GCF of 7000,1512 is 56 .
LCM of Denominators means LCM of 211,710 as per the given fractions.
LCM of 211,710 is 149810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7000,1512
2 | 7000, 1512 |
2 | 3500, 756 |
2 | 1750, 378 |
7 | 875, 189 |
125, 27 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Factors of 7000
List of positive integer factors of 7000 that divides 7000 without a remainder.
1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Factors of 1512
List of positive integer factors of 1512 that divides 1512 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 7000,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 7000,1512 is 56.
Lets's calculate LCM of 211,710
Given numbers has no common factors except 1. So, there LCM is their product i.e 149810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/149810
Therefore, the GCF of Fractions 7000/211,1512/710 is 56/149810
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 211,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,710) x common factors =1 x 1 = 1
LCM(211,710) = ( 211 × 710 ) / 1
LCM(211,710) = 149810 / 1
LCM(211,710) = 149810
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 7000/211, 1512/710?
Answer: GCF of Numerators as per given numbers 7000/211, 1512/710 is
GCF of Numerators i.e. for 7000,1512 is 56
LCM of denominators i.e. for 211,710 is 149810.
Thus, GCF of Fractions is 56/149810.Finally, GCF of Fractions for 7000/211, 1512/710 is 56/149810.