Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/9803,175/3175
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 420,175
Greatest Common Factor of Numerators i.e. GCF of 420,175 is 35 .
LCM of Denominators means LCM of 9803,3175 as per the given fractions.
LCM of 9803,3175 is 31124525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,175
5 | 420, 175 |
7 | 84, 35 |
12, 5 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 420,175 . The biggest common factor number is the GCF number.
So the greatest common factor 420,175 is 35.
Lets's calculate LCM of 9803,3175
Given numbers has no common factors except 1. So, there LCM is their product i.e 31124525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/31124525
Therefore, the GCF of Fractions 420/9803,175/3175 is 35/31124525
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 9803,3175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9803,3175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9803,3175) x common factors =1 x 1 = 1
LCM(9803,3175) = ( 9803 × 3175 ) / 1
LCM(9803,3175) = 31124525 / 1
LCM(9803,3175) = 31124525
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 420/9803, 175/3175?
Answer: GCF of Numerators as per given numbers 420/9803, 175/3175 is
GCF of Numerators i.e. for 420,175 is 35
LCM of denominators i.e. for 9803,3175 is 31124525.
Thus, GCF of Fractions is 35/31124525.Finally, GCF of Fractions for 420/9803, 175/3175 is 35/31124525.