Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 690/427,4170/492
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 690,4170
Greatest Common Factor of Numerators i.e. GCF of 690,4170 is 30 .
LCM of Denominators means LCM of 427,492 as per the given fractions.
LCM of 427,492 is 210084 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 690,4170
2 | 690, 4170 |
3 | 345, 2085 |
5 | 115, 695 |
23, 139 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 4170
List of positive integer factors of 4170 that divides 4170 without a remainder.
1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 690,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 690,4170 is 30.
Lets's calculate LCM of 427,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 210084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/210084
Therefore, the GCF of Fractions 690/427,4170/492 is 30/210084
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 427,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,492) x common factors =1 x 1 = 1
LCM(427,492) = ( 427 × 492 ) / 1
LCM(427,492) = 210084 / 1
LCM(427,492) = 210084
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 690/427, 4170/492?
Answer: GCF of Numerators as per given numbers 690/427, 4170/492 is
GCF of Numerators i.e. for 690,4170 is 30
LCM of denominators i.e. for 427,492 is 210084.
Thus, GCF of Fractions is 30/210084.Finally, GCF of Fractions for 690/427, 4170/492 is 30/210084.