Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/97,53/66,60/63,75/410
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 85,53,60,75
Greatest Common Factor of Numerators i.e. GCF of 85,53,60,75 is 1 .
LCM of Denominators means LCM of 97,66,63,410 as per the given fractions.
LCM of 97,66,63,410 is 27560610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,53,60,75
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Greatest Common Factor
We found the factors 85,53,60,75 . The biggest common factor number is the GCF number.
So the greatest common factor 85,53,60,75 is 1.
Lets's calculate LCM of 97,66,63,410
2 | 97, 66, 63, 410 |
3 | 97, 33, 63, 205 |
97, 11, 21, 205 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 11 x 21 x 205 = 27560610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27560610
Therefore, the GCF of Fractions 85/97,53/66,60/63,75/410 is 1/27560610
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 97,66,63,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,66,63,410) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(97,66,63,410) x common factors =1 x 6 = 6
LCM(97,66,63,410) = ( 97 × 66 × 63 × 410 ) / 6
LCM(97,66,63,410) = 165363660 / 6
LCM(97,66,63,410) = 27560610
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 85/97, 53/66, 60/63, 75/410?
Answer: GCF of Numerators as per given numbers 85/97, 53/66, 60/63, 75/410 is
GCF of Numerators i.e. for 85,53,60,75 is 1
LCM of denominators i.e. for 97,66,63,410 is 27560610.
Thus, GCF of Fractions is 1/27560610.Finally, GCF of Fractions for 85/97, 53/66, 60/63, 75/410 is 1/27560610.