Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/21,78/691,502/578
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 83,78,502
Greatest Common Factor of Numerators i.e. GCF of 83,78,502 is 1 .
LCM of Denominators means LCM of 21,691,578 as per the given fractions.
LCM of 21,691,578 is 8387358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,78,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
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 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 83,78,502 . The biggest common factor number is the GCF number.
So the greatest common factor 83,78,502 is 1.
Lets's calculate LCM of 21,691,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 8387358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8387358
Therefore, the GCF of Fractions 83/21,78/691,502/578 is 1/8387358
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 21,691,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,691,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,691,578) x common factors =1 x 1 = 1
LCM(21,691,578) = ( 21 × 691 × 578 ) / 1
LCM(21,691,578) = 8387358 / 1
LCM(21,691,578) = 8387358
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 83/21, 78/691, 502/578?
Answer: GCF of Numerators as per given numbers 83/21, 78/691, 502/578 is
GCF of Numerators i.e. for 83,78,502 is 1
LCM of denominators i.e. for 21,691,578 is 8387358.
Thus, GCF of Fractions is 1/8387358.Finally, GCF of Fractions for 83/21, 78/691, 502/578 is 1/8387358.