Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/97,51/67,10/21,78/649
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 62,51,10,78
Greatest Common Factor of Numerators i.e. GCF of 62,51,10,78 is 1 .
LCM of Denominators means LCM of 97,67,21,649 as per the given fractions.
LCM of 97,67,21,649 is 88574871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,51,10,78
∴ 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 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 62,51,10,78 . The biggest common factor number is the GCF number.
So the greatest common factor 62,51,10,78 is 1.
Lets's calculate LCM of 97,67,21,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 88574871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88574871
Therefore, the GCF of Fractions 62/97,51/67,10/21,78/649 is 1/88574871
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 97,67,21,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,67,21,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,67,21,649) x common factors =1 x 1 = 1
LCM(97,67,21,649) = ( 97 × 67 × 21 × 649 ) / 1
LCM(97,67,21,649) = 88574871 / 1
LCM(97,67,21,649) = 88574871
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 62/97, 51/67, 10/21, 78/649?
Answer: GCF of Numerators as per given numbers 62/97, 51/67, 10/21, 78/649 is
GCF of Numerators i.e. for 62,51,10,78 is 1
LCM of denominators i.e. for 97,67,21,649 is 88574871.
Thus, GCF of Fractions is 1/88574871.Finally, GCF of Fractions for 62/97, 51/67, 10/21, 78/649 is 1/88574871.