Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/97,89/25,70/957,566/526
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 5,89,70,566
Greatest Common Factor of Numerators i.e. GCF of 5,89,70,566 is 1 .
LCM of Denominators means LCM of 97,25,957,526 as per the given fractions.
LCM of 97,25,957,526 is 1220701350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,89,70,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 5,89,70,566 . The biggest common factor number is the GCF number.
So the greatest common factor 5,89,70,566 is 1.
Lets's calculate LCM of 97,25,957,526
Given numbers has no common factors except 1. So, there LCM is their product i.e 1220701350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1220701350
Therefore, the GCF of Fractions 5/97,89/25,70/957,566/526 is 1/1220701350
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 97,25,957,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,25,957,526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,25,957,526) x common factors =1 x 1 = 1
LCM(97,25,957,526) = ( 97 × 25 × 957 × 526 ) / 1
LCM(97,25,957,526) = 1220701350 / 1
LCM(97,25,957,526) = 1220701350
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 5/97, 89/25, 70/957, 566/526?
Answer: GCF of Numerators as per given numbers 5/97, 89/25, 70/957, 566/526 is
GCF of Numerators i.e. for 5,89,70,566 is 1
LCM of denominators i.e. for 97,25,957,526 is 1220701350.
Thus, GCF of Fractions is 1/1220701350.Finally, GCF of Fractions for 5/97, 89/25, 70/957, 566/526 is 1/1220701350.