Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/61,79/837,132/679
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 97,79,132
Greatest Common Factor of Numerators i.e. GCF of 97,79,132 is 1 .
LCM of Denominators means LCM of 61,837,679 as per the given fractions.
LCM of 61,837,679 is 34667703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,79,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 97,79,132 . The biggest common factor number is the GCF number.
So the greatest common factor 97,79,132 is 1.
Lets's calculate LCM of 61,837,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 34667703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34667703
Therefore, the GCF of Fractions 97/61,79/837,132/679 is 1/34667703
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 61,837,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,837,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,837,679) x common factors =1 x 1 = 1
LCM(61,837,679) = ( 61 × 837 × 679 ) / 1
LCM(61,837,679) = 34667703 / 1
LCM(61,837,679) = 34667703
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 97/61, 79/837, 132/679?
Answer: GCF of Numerators as per given numbers 97/61, 79/837, 132/679 is
GCF of Numerators i.e. for 97,79,132 is 1
LCM of denominators i.e. for 61,837,679 is 34667703.
Thus, GCF of Fractions is 1/34667703.Finally, GCF of Fractions for 97/61, 79/837, 132/679 is 1/34667703.