Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/43,78/49,94/93,79/166
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 50,78,94,79
Greatest Common Factor of Numerators i.e. GCF of 50,78,94,79 is 1 .
LCM of Denominators means LCM of 43,49,93,166 as per the given fractions.
LCM of 43,49,93,166 is 32527866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,78,94,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 50,78,94,79 . The biggest common factor number is the GCF number.
So the greatest common factor 50,78,94,79 is 1.
Lets's calculate LCM of 43,49,93,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 32527866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32527866
Therefore, the GCF of Fractions 50/43,78/49,94/93,79/166 is 1/32527866
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 43,49,93,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,49,93,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,49,93,166) x common factors =1 x 1 = 1
LCM(43,49,93,166) = ( 43 × 49 × 93 × 166 ) / 1
LCM(43,49,93,166) = 32527866 / 1
LCM(43,49,93,166) = 32527866
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 50/43, 78/49, 94/93, 79/166?
Answer: GCF of Numerators as per given numbers 50/43, 78/49, 94/93, 79/166 is
GCF of Numerators i.e. for 50,78,94,79 is 1
LCM of denominators i.e. for 43,49,93,166 is 32527866.
Thus, GCF of Fractions is 1/32527866.Finally, GCF of Fractions for 50/43, 78/49, 94/93, 79/166 is 1/32527866.