Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/59,493/67,158/877
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 710,493,158
Greatest Common Factor of Numerators i.e. GCF of 710,493,158 is 1 .
LCM of Denominators means LCM of 59,67,877 as per the given fractions.
LCM of 59,67,877 is 3466781 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 710,493,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 710,493,158 . The biggest common factor number is the GCF number.
So the greatest common factor 710,493,158 is 1.
Lets's calculate LCM of 59,67,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 3466781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3466781
Therefore, the GCF of Fractions 710/59,493/67,158/877 is 1/3466781
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 59,67,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,67,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,67,877) x common factors =1 x 1 = 1
LCM(59,67,877) = ( 59 × 67 × 877 ) / 1
LCM(59,67,877) = 3466781 / 1
LCM(59,67,877) = 3466781
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 710/59, 493/67, 158/877?
Answer: GCF of Numerators as per given numbers 710/59, 493/67, 158/877 is
GCF of Numerators i.e. for 710,493,158 is 1
LCM of denominators i.e. for 59,67,877 is 3466781.
Thus, GCF of Fractions is 1/3466781.Finally, GCF of Fractions for 710/59, 493/67, 158/877 is 1/3466781.