Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/95,19/97,870/292
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 62,19,870
Greatest Common Factor of Numerators i.e. GCF of 62,19,870 is 1 .
LCM of Denominators means LCM of 95,97,292 as per the given fractions.
LCM of 95,97,292 is 2690780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,19,870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 62,19,870 . The biggest common factor number is the GCF number.
So the greatest common factor 62,19,870 is 1.
Lets's calculate LCM of 95,97,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 2690780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2690780
Therefore, the GCF of Fractions 62/95,19/97,870/292 is 1/2690780
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 95,97,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,97,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,97,292) x common factors =1 x 1 = 1
LCM(95,97,292) = ( 95 × 97 × 292 ) / 1
LCM(95,97,292) = 2690780 / 1
LCM(95,97,292) = 2690780
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 62/95, 19/97, 870/292?
Answer: GCF of Numerators as per given numbers 62/95, 19/97, 870/292 is
GCF of Numerators i.e. for 62,19,870 is 1
LCM of denominators i.e. for 95,97,292 is 2690780.
Thus, GCF of Fractions is 1/2690780.Finally, GCF of Fractions for 62/95, 19/97, 870/292 is 1/2690780.