Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/673,6716/529
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 646,6716
Greatest Common Factor of Numerators i.e. GCF of 646,6716 is 2 .
LCM of Denominators means LCM of 673,529 as per the given fractions.
LCM of 673,529 is 356017 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 646,6716
2 | 646, 6716 |
323, 3358 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 6716
List of positive integer factors of 6716 that divides 6716 without a remainder.
1,2,4,23,46,73,92,146,292,1679,3358,6716
Greatest Common Factor
We found the factors 646,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 646,6716 is 2.
Lets's calculate LCM of 673,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 356017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356017
Therefore, the GCF of Fractions 646/673,6716/529 is 2/356017
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 673,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,529) x common factors =1 x 1 = 1
LCM(673,529) = ( 673 × 529 ) / 1
LCM(673,529) = 356017 / 1
LCM(673,529) = 356017
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 646/673, 6716/529?
Answer: GCF of Numerators as per given numbers 646/673, 6716/529 is
GCF of Numerators i.e. for 646,6716 is 2
LCM of denominators i.e. for 673,529 is 356017.
Thus, GCF of Fractions is 2/356017.Finally, GCF of Fractions for 646/673, 6716/529 is 2/356017.