Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 700/31,530/6656
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 700,530
Greatest Common Factor of Numerators i.e. GCF of 700,530 is 10 .
LCM of Denominators means LCM of 31,6656 as per the given fractions.
LCM of 31,6656 is 206336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 700,530
2 | 700, 530 |
5 | 350, 265 |
70, 53 |
∴ 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 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 700,530 . The biggest common factor number is the GCF number.
So the greatest common factor 700,530 is 10.
Lets's calculate LCM of 31,6656
Given numbers has no common factors except 1. So, there LCM is their product i.e 206336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/206336
Therefore, the GCF of Fractions 700/31,530/6656 is 10/206336
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 31,6656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,6656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,6656) x common factors =1 x 1 = 1
LCM(31,6656) = ( 31 × 6656 ) / 1
LCM(31,6656) = 206336 / 1
LCM(31,6656) = 206336
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 700/31, 530/6656?
Answer: GCF of Numerators as per given numbers 700/31, 530/6656 is
GCF of Numerators i.e. for 700,530 is 10
LCM of denominators i.e. for 31,6656 is 206336.
Thus, GCF of Fractions is 10/206336.Finally, GCF of Fractions for 700/31, 530/6656 is 10/206336.