Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 420/377,1802/425
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 420,1802
Greatest Common Factor of Numerators i.e. GCF of 420,1802 is 2 .
LCM of Denominators means LCM of 377,425 as per the given fractions.
LCM of 377,425 is 160225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 420,1802
2 | 420, 1802 |
210, 901 |
∴ So the GCF of the given numbers is 2 = 2
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 1802
List of positive integer factors of 1802 that divides 1802 without a remainder.
1,2,17,34,53,106,901,1802
Greatest Common Factor
We found the factors 420,1802 . The biggest common factor number is the GCF number.
So the greatest common factor 420,1802 is 2.
Lets's calculate LCM of 377,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 160225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/160225
Therefore, the GCF of Fractions 420/377,1802/425 is 2/160225
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 377,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,425) x common factors =1 x 1 = 1
LCM(377,425) = ( 377 × 425 ) / 1
LCM(377,425) = 160225 / 1
LCM(377,425) = 160225
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 420/377, 1802/425?
Answer: GCF of Numerators as per given numbers 420/377, 1802/425 is
GCF of Numerators i.e. for 420,1802 is 2
LCM of denominators i.e. for 377,425 is 160225.
Thus, GCF of Fractions is 2/160225.Finally, GCF of Fractions for 420/377, 1802/425 is 2/160225.