Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/504,4412/9021
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 65,4412
Greatest Common Factor of Numerators i.e. GCF of 65,4412 is 1 .
LCM of Denominators means LCM of 504,9021 as per the given fractions.
LCM of 504,9021 is 1515528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,4412
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 4412
List of positive integer factors of 4412 that divides 4412 without a remainder.
1,2,4,1103,2206,4412
Greatest Common Factor
We found the factors 65,4412 . The biggest common factor number is the GCF number.
So the greatest common factor 65,4412 is 1.
Lets's calculate LCM of 504,9021
3 | 504, 9021 |
168, 3007 |
∴ So the LCM of the given numbers is 3 x 168 x 3007 = 1515528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515528
Therefore, the GCF of Fractions 65/504,4412/9021 is 1/1515528
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 504,9021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,9021) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(504,9021) x common factors =3 x 1 = 3
LCM(504,9021) = ( 504 × 9021 ) / 3
LCM(504,9021) = 4546584 / 3
LCM(504,9021) = 1515528
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 65/504, 4412/9021?
Answer: GCF of Numerators as per given numbers 65/504, 4412/9021 is
GCF of Numerators i.e. for 65,4412 is 1
LCM of denominators i.e. for 504,9021 is 1515528.
Thus, GCF of Fractions is 1/1515528.Finally, GCF of Fractions for 65/504, 4412/9021 is 1/1515528.