Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/63,702/4310
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 859,702
Greatest Common Factor of Numerators i.e. GCF of 859,702 is 1 .
LCM of Denominators means LCM of 63,4310 as per the given fractions.
LCM of 63,4310 is 271530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 859,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 859,702 . The biggest common factor number is the GCF number.
So the greatest common factor 859,702 is 1.
Lets's calculate LCM of 63,4310
Given numbers has no common factors except 1. So, there LCM is their product i.e 271530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271530
Therefore, the GCF of Fractions 859/63,702/4310 is 1/271530
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 63,4310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,4310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,4310) x common factors =1 x 1 = 1
LCM(63,4310) = ( 63 × 4310 ) / 1
LCM(63,4310) = 271530 / 1
LCM(63,4310) = 271530
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 859/63, 702/4310?
Answer: GCF of Numerators as per given numbers 859/63, 702/4310 is
GCF of Numerators i.e. for 859,702 is 1
LCM of denominators i.e. for 63,4310 is 271530.
Thus, GCF of Fractions is 1/271530.Finally, GCF of Fractions for 859/63, 702/4310 is 1/271530.