Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4273/62,1972/562
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 4273,1972
Greatest Common Factor of Numerators i.e. GCF of 4273,1972 is 1 .
LCM of Denominators means LCM of 62,562 as per the given fractions.
LCM of 62,562 is 17422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4273,1972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4273
List of positive integer factors of 4273 that divides 4273 without a remainder.
1,4273
Factors of 1972
List of positive integer factors of 1972 that divides 1972 without a remainder.
1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 4273,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 4273,1972 is 1.
Lets's calculate LCM of 62,562
2 | 62, 562 |
31, 281 |
∴ So the LCM of the given numbers is 2 x 31 x 281 = 17422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17422
Therefore, the GCF of Fractions 4273/62,1972/562 is 1/17422
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 62,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,562) x common factors =2 x 1 = 2
LCM(62,562) = ( 62 × 562 ) / 2
LCM(62,562) = 34844 / 2
LCM(62,562) = 17422
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 4273/62, 1972/562?
Answer: GCF of Numerators as per given numbers 4273/62, 1972/562 is
GCF of Numerators i.e. for 4273,1972 is 1
LCM of denominators i.e. for 62,562 is 17422.
Thus, GCF of Fractions is 1/17422.Finally, GCF of Fractions for 4273/62, 1972/562 is 1/17422.