Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 882/939,1739/9650
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 882,1739
Greatest Common Factor of Numerators i.e. GCF of 882,1739 is 1 .
LCM of Denominators means LCM of 939,9650 as per the given fractions.
LCM of 939,9650 is 9061350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 882,1739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 1739
List of positive integer factors of 1739 that divides 1739 without a remainder.
1,37,47,1739
Greatest Common Factor
We found the factors 882,1739 . The biggest common factor number is the GCF number.
So the greatest common factor 882,1739 is 1.
Lets's calculate LCM of 939,9650
Given numbers has no common factors except 1. So, there LCM is their product i.e 9061350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9061350
Therefore, the GCF of Fractions 882/939,1739/9650 is 1/9061350
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 939,9650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,9650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,9650) x common factors =1 x 1 = 1
LCM(939,9650) = ( 939 × 9650 ) / 1
LCM(939,9650) = 9061350 / 1
LCM(939,9650) = 9061350
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 882/939, 1739/9650?
Answer: GCF of Numerators as per given numbers 882/939, 1739/9650 is
GCF of Numerators i.e. for 882,1739 is 1
LCM of denominators i.e. for 939,9650 is 9061350.
Thus, GCF of Fractions is 1/9061350.Finally, GCF of Fractions for 882/939, 1739/9650 is 1/9061350.