Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 709/92,963/75,852/361
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 709,963,852
Greatest Common Factor of Numerators i.e. GCF of 709,963,852 is 1 .
LCM of Denominators means LCM of 92,75,361 as per the given fractions.
LCM of 92,75,361 is 2490900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 709,963,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 709,963,852 . The biggest common factor number is the GCF number.
So the greatest common factor 709,963,852 is 1.
Lets's calculate LCM of 92,75,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 2490900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2490900
Therefore, the GCF of Fractions 709/92,963/75,852/361 is 1/2490900
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 92,75,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,75,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,75,361) x common factors =1 x 1 = 1
LCM(92,75,361) = ( 92 × 75 × 361 ) / 1
LCM(92,75,361) = 2490900 / 1
LCM(92,75,361) = 2490900
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 709/92, 963/75, 852/361?
Answer: GCF of Numerators as per given numbers 709/92, 963/75, 852/361 is
GCF of Numerators i.e. for 709,963,852 is 1
LCM of denominators i.e. for 92,75,361 is 2490900.
Thus, GCF of Fractions is 1/2490900.Finally, GCF of Fractions for 709/92, 963/75, 852/361 is 1/2490900.