Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1251/218,3502/966
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 1251,3502
Greatest Common Factor of Numerators i.e. GCF of 1251,3502 is 1 .
LCM of Denominators means LCM of 218,966 as per the given fractions.
LCM of 218,966 is 105294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1251,3502
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1251
List of positive integer factors of 1251 that divides 1251 without a remainder.
1,3,9,139,417,1251
Factors of 3502
List of positive integer factors of 3502 that divides 3502 without a remainder.
1,2,17,34,103,206,1751,3502
Greatest Common Factor
We found the factors 1251,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 1251,3502 is 1.
Lets's calculate LCM of 218,966
2 | 218, 966 |
109, 483 |
∴ So the LCM of the given numbers is 2 x 109 x 483 = 105294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105294
Therefore, the GCF of Fractions 1251/218,3502/966 is 1/105294
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 218,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,966) x common factors =2 x 1 = 2
LCM(218,966) = ( 218 × 966 ) / 2
LCM(218,966) = 210588 / 2
LCM(218,966) = 105294
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 1251/218, 3502/966?
Answer: GCF of Numerators as per given numbers 1251/218, 3502/966 is
GCF of Numerators i.e. for 1251,3502 is 1
LCM of denominators i.e. for 218,966 is 105294.
Thus, GCF of Fractions is 1/105294.Finally, GCF of Fractions for 1251/218, 3502/966 is 1/105294.