Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5309/571,5919/7607
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 5309,5919
Greatest Common Factor of Numerators i.e. GCF of 5309,5919 is 1 .
LCM of Denominators means LCM of 571,7607 as per the given fractions.
LCM of 571,7607 is 4343597 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5309,5919
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5309
List of positive integer factors of 5309 that divides 5309 without a remainder.
1,5309
Factors of 5919
List of positive integer factors of 5919 that divides 5919 without a remainder.
1,3,1973,5919
Greatest Common Factor
We found the factors 5309,5919 . The biggest common factor number is the GCF number.
So the greatest common factor 5309,5919 is 1.
Lets's calculate LCM of 571,7607
Given numbers has no common factors except 1. So, there LCM is their product i.e 4343597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4343597
Therefore, the GCF of Fractions 5309/571,5919/7607 is 1/4343597
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 571,7607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,7607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,7607) x common factors =1 x 1 = 1
LCM(571,7607) = ( 571 × 7607 ) / 1
LCM(571,7607) = 4343597 / 1
LCM(571,7607) = 4343597
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 5309/571, 5919/7607?
Answer: GCF of Numerators as per given numbers 5309/571, 5919/7607 is
GCF of Numerators i.e. for 5309,5919 is 1
LCM of denominators i.e. for 571,7607 is 4343597.
Thus, GCF of Fractions is 1/4343597.Finally, GCF of Fractions for 5309/571, 5919/7607 is 1/4343597.