Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2162/624,9154/151
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 2162,9154
Greatest Common Factor of Numerators i.e. GCF of 2162,9154 is 46 .
LCM of Denominators means LCM of 624,151 as per the given fractions.
LCM of 624,151 is 94224 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2162,9154
2 | 2162, 9154 |
23 | 1081, 4577 |
47, 199 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Factors of 2162
List of positive integer factors of 2162 that divides 2162 without a remainder.
1,2,23,46,47,94,1081,2162
Factors of 9154
List of positive integer factors of 9154 that divides 9154 without a remainder.
1,2,23,46,199,398,4577,9154
Greatest Common Factor
We found the factors 2162,9154 . The biggest common factor number is the GCF number.
So the greatest common factor 2162,9154 is 46.
Lets's calculate LCM of 624,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 94224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/94224
Therefore, the GCF of Fractions 2162/624,9154/151 is 46/94224
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 624,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,151) x common factors =1 x 1 = 1
LCM(624,151) = ( 624 × 151 ) / 1
LCM(624,151) = 94224 / 1
LCM(624,151) = 94224
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 2162/624, 9154/151?
Answer: GCF of Numerators as per given numbers 2162/624, 9154/151 is
GCF of Numerators i.e. for 2162,9154 is 46
LCM of denominators i.e. for 624,151 is 94224.
Thus, GCF of Fractions is 46/94224.Finally, GCF of Fractions for 2162/624, 9154/151 is 46/94224.