Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 701/93,914/75,535/32
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 701,914,535
Greatest Common Factor of Numerators i.e. GCF of 701,914,535 is 1 .
LCM of Denominators means LCM of 93,75,32 as per the given fractions.
LCM of 93,75,32 is 74400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 701,914,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 701,914,535 . The biggest common factor number is the GCF number.
So the greatest common factor 701,914,535 is 1.
Lets's calculate LCM of 93,75,32
3 | 93, 75, 32 |
31, 25, 32 |
∴ So the LCM of the given numbers is 3 x 31 x 25 x 32 = 74400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74400
Therefore, the GCF of Fractions 701/93,914/75,535/32 is 1/74400
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 93,75,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,75,32) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,75,32) x common factors =1 x 3 = 3
LCM(93,75,32) = ( 93 × 75 × 32 ) / 3
LCM(93,75,32) = 223200 / 3
LCM(93,75,32) = 74400
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 701/93, 914/75, 535/32?
Answer: GCF of Numerators as per given numbers 701/93, 914/75, 535/32 is
GCF of Numerators i.e. for 701,914,535 is 1
LCM of denominators i.e. for 93,75,32 is 74400.
Thus, GCF of Fractions is 1/74400.Finally, GCF of Fractions for 701/93, 914/75, 535/32 is 1/74400.