Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 709/770,1191/4646
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 709,1191
Greatest Common Factor of Numerators i.e. GCF of 709,1191 is 1 .
LCM of Denominators means LCM of 770,4646 as per the given fractions.
LCM of 770,4646 is 1788710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 709,1191
∴ 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 1191
List of positive integer factors of 1191 that divides 1191 without a remainder.
1,3,397,1191
Greatest Common Factor
We found the factors 709,1191 . The biggest common factor number is the GCF number.
So the greatest common factor 709,1191 is 1.
Lets's calculate LCM of 770,4646
2 | 770, 4646 |
385, 2323 |
∴ So the LCM of the given numbers is 2 x 385 x 2323 = 1788710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788710
Therefore, the GCF of Fractions 709/770,1191/4646 is 1/1788710
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 770,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,4646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,4646) x common factors =2 x 1 = 2
LCM(770,4646) = ( 770 × 4646 ) / 2
LCM(770,4646) = 3577420 / 2
LCM(770,4646) = 1788710
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 709/770, 1191/4646?
Answer: GCF of Numerators as per given numbers 709/770, 1191/4646 is
GCF of Numerators i.e. for 709,1191 is 1
LCM of denominators i.e. for 770,4646 is 1788710.
Thus, GCF of Fractions is 1/1788710.Finally, GCF of Fractions for 709/770, 1191/4646 is 1/1788710.