Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/767,64/6159
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 70,64
Greatest Common Factor of Numerators i.e. GCF of 70,64 is 2 .
LCM of Denominators means LCM of 767,6159 as per the given fractions.
LCM of 767,6159 is 4723953 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,64
2 | 70, 64 |
35, 32 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Greatest Common Factor
We found the factors 70,64 . The biggest common factor number is the GCF number.
So the greatest common factor 70,64 is 2.
Lets's calculate LCM of 767,6159
Given numbers has no common factors except 1. So, there LCM is their product i.e 4723953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4723953
Therefore, the GCF of Fractions 70/767,64/6159 is 2/4723953
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 767,6159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,6159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,6159) x common factors =1 x 1 = 1
LCM(767,6159) = ( 767 × 6159 ) / 1
LCM(767,6159) = 4723953 / 1
LCM(767,6159) = 4723953
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 70/767, 64/6159?
Answer: GCF of Numerators as per given numbers 70/767, 64/6159 is
GCF of Numerators i.e. for 70,64 is 2
LCM of denominators i.e. for 767,6159 is 4723953.
Thus, GCF of Fractions is 2/4723953.Finally, GCF of Fractions for 70/767, 64/6159 is 2/4723953.