Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4235/70,5650/584
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 4235,5650
Greatest Common Factor of Numerators i.e. GCF of 4235,5650 is 5 .
LCM of Denominators means LCM of 70,584 as per the given fractions.
LCM of 70,584 is 20440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4235,5650
5 | 4235, 5650 |
847, 1130 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4235
List of positive integer factors of 4235 that divides 4235 without a remainder.
1,5,7,11,35,55,77,121,385,605,847,4235
Factors of 5650
List of positive integer factors of 5650 that divides 5650 without a remainder.
1,2,5,10,25,50,113,226,565,1130,2825,5650
Greatest Common Factor
We found the factors 4235,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 4235,5650 is 5.
Lets's calculate LCM of 70,584
2 | 70, 584 |
35, 292 |
∴ So the LCM of the given numbers is 2 x 35 x 292 = 20440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20440
Therefore, the GCF of Fractions 4235/70,5650/584 is 5/20440
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 70,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,584) x common factors =2 x 1 = 2
LCM(70,584) = ( 70 × 584 ) / 2
LCM(70,584) = 40880 / 2
LCM(70,584) = 20440
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 4235/70, 5650/584?
Answer: GCF of Numerators as per given numbers 4235/70, 5650/584 is
GCF of Numerators i.e. for 4235,5650 is 5
LCM of denominators i.e. for 70,584 is 20440.
Thus, GCF of Fractions is 5/20440.Finally, GCF of Fractions for 4235/70, 5650/584 is 5/20440.