Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 120/701,4728/9630
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 120,4728
Greatest Common Factor of Numerators i.e. GCF of 120,4728 is 24 .
LCM of Denominators means LCM of 701,9630 as per the given fractions.
LCM of 701,9630 is 6750630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 120,4728
2 | 120, 4728 |
2 | 60, 2364 |
2 | 30, 1182 |
3 | 15, 591 |
5, 197 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 4728
List of positive integer factors of 4728 that divides 4728 without a remainder.
1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors 120,4728 . The biggest common factor number is the GCF number.
So the greatest common factor 120,4728 is 24.
Lets's calculate LCM of 701,9630
Given numbers has no common factors except 1. So, there LCM is their product i.e 6750630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/6750630
Therefore, the GCF of Fractions 120/701,4728/9630 is 24/6750630
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 701,9630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,9630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,9630) x common factors =1 x 1 = 1
LCM(701,9630) = ( 701 × 9630 ) / 1
LCM(701,9630) = 6750630 / 1
LCM(701,9630) = 6750630
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 120/701, 4728/9630?
Answer: GCF of Numerators as per given numbers 120/701, 4728/9630 is
GCF of Numerators i.e. for 120,4728 is 24
LCM of denominators i.e. for 701,9630 is 6750630.
Thus, GCF of Fractions is 24/6750630.Finally, GCF of Fractions for 120/701, 4728/9630 is 24/6750630.