Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5263/61,1289/562
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 5263,1289
Greatest Common Factor of Numerators i.e. GCF of 5263,1289 is 1 .
LCM of Denominators means LCM of 61,562 as per the given fractions.
LCM of 61,562 is 34282 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5263,1289
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5263
List of positive integer factors of 5263 that divides 5263 without a remainder.
1,19,277,5263
Factors of 1289
List of positive integer factors of 1289 that divides 1289 without a remainder.
1,1289
Greatest Common Factor
We found the factors 5263,1289 . The biggest common factor number is the GCF number.
So the greatest common factor 5263,1289 is 1.
Lets's calculate LCM of 61,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 34282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34282
Therefore, the GCF of Fractions 5263/61,1289/562 is 1/34282
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 61,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,562) x common factors =1 x 1 = 1
LCM(61,562) = ( 61 × 562 ) / 1
LCM(61,562) = 34282 / 1
LCM(61,562) = 34282
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 5263/61, 1289/562?
Answer: GCF of Numerators as per given numbers 5263/61, 1289/562 is
GCF of Numerators i.e. for 5263,1289 is 1
LCM of denominators i.e. for 61,562 is 34282.
Thus, GCF of Fractions is 1/34282.Finally, GCF of Fractions for 5263/61, 1289/562 is 1/34282.