Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/70,67/70,759/311
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 85,67,759
Greatest Common Factor of Numerators i.e. GCF of 85,67,759 is 1 .
LCM of Denominators means LCM of 70,70,311 as per the given fractions.
LCM of 70,70,311 is 21770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,67,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 85,67,759 . The biggest common factor number is the GCF number.
So the greatest common factor 85,67,759 is 1.
Lets's calculate LCM of 70,70,311
2 | 70, 70, 311 |
5 | 35, 35, 311 |
7 | 7, 7, 311 |
1, 1, 311 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 311 = 21770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21770
Therefore, the GCF of Fractions 85/70,67/70,759/311 is 1/21770
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 70,70,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,70,311) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(70,70,311) x common factors =1 x 70 = 70
LCM(70,70,311) = ( 70 × 70 × 311 ) / 70
LCM(70,70,311) = 1523900 / 70
LCM(70,70,311) = 21770
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 85/70, 67/70, 759/311?
Answer: GCF of Numerators as per given numbers 85/70, 67/70, 759/311 is
GCF of Numerators i.e. for 85,67,759 is 1
LCM of denominators i.e. for 70,70,311 is 21770.
Thus, GCF of Fractions is 1/21770.Finally, GCF of Fractions for 85/70, 67/70, 759/311 is 1/21770.