Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9583/14,5708/770
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 9583,5708
Greatest Common Factor of Numerators i.e. GCF of 9583,5708 is 1 .
LCM of Denominators means LCM of 14,770 as per the given fractions.
LCM of 14,770 is 770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9583,5708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1,7,37,259,1369,9583
Factors of 5708
List of positive integer factors of 5708 that divides 5708 without a remainder.
1,2,4,1427,2854,5708
Greatest Common Factor
We found the factors 9583,5708 . The biggest common factor number is the GCF number.
So the greatest common factor 9583,5708 is 1.
Lets's calculate LCM of 14,770
2 | 14, 770 |
7 | 7, 385 |
1, 55 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 55 = 770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/770
Therefore, the GCF of Fractions 9583/14,5708/770 is 1/770
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 14,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,770) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(14,770) x common factors =14 x 1 = 14
LCM(14,770) = ( 14 × 770 ) / 14
LCM(14,770) = 10780 / 14
LCM(14,770) = 770
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 9583/14, 5708/770?
Answer: GCF of Numerators as per given numbers 9583/14, 5708/770 is
GCF of Numerators i.e. for 9583,5708 is 1
LCM of denominators i.e. for 14,770 is 770.
Thus, GCF of Fractions is 1/770.Finally, GCF of Fractions for 9583/14, 5708/770 is 1/770.