Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/71,32/211,765/603
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 84,32,765
Greatest Common Factor of Numerators i.e. GCF of 84,32,765 is 1 .
LCM of Denominators means LCM of 71,211,603 as per the given fractions.
LCM of 71,211,603 is 9033543 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,32,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 84,32,765 . The biggest common factor number is the GCF number.
So the greatest common factor 84,32,765 is 1.
Lets's calculate LCM of 71,211,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 9033543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9033543
Therefore, the GCF of Fractions 84/71,32/211,765/603 is 1/9033543
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 71,211,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,211,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,211,603) x common factors =1 x 1 = 1
LCM(71,211,603) = ( 71 × 211 × 603 ) / 1
LCM(71,211,603) = 9033543 / 1
LCM(71,211,603) = 9033543
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 84/71, 32/211, 765/603?
Answer: GCF of Numerators as per given numbers 84/71, 32/211, 765/603 is
GCF of Numerators i.e. for 84,32,765 is 1
LCM of denominators i.e. for 71,211,603 is 9033543.
Thus, GCF of Fractions is 1/9033543.Finally, GCF of Fractions for 84/71, 32/211, 765/603 is 1/9033543.