Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/17,58/63,45/626,702/769
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 8,58,45,702
Greatest Common Factor of Numerators i.e. GCF of 8,58,45,702 is 1 .
LCM of Denominators means LCM of 17,63,626,769 as per the given fractions.
LCM of 17,63,626,769 is 515572974 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,58,45,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
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 8,58,45,702 . The biggest common factor number is the GCF number.
So the greatest common factor 8,58,45,702 is 1.
Lets's calculate LCM of 17,63,626,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 515572974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515572974
Therefore, the GCF of Fractions 8/17,58/63,45/626,702/769 is 1/515572974
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 17,63,626,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,63,626,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,63,626,769) x common factors =1 x 1 = 1
LCM(17,63,626,769) = ( 17 × 63 × 626 × 769 ) / 1
LCM(17,63,626,769) = 515572974 / 1
LCM(17,63,626,769) = 515572974
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 8/17, 58/63, 45/626, 702/769?
Answer: GCF of Numerators as per given numbers 8/17, 58/63, 45/626, 702/769 is
GCF of Numerators i.e. for 8,58,45,702 is 1
LCM of denominators i.e. for 17,63,626,769 is 515572974.
Thus, GCF of Fractions is 1/515572974.Finally, GCF of Fractions for 8/17, 58/63, 45/626, 702/769 is 1/515572974.