Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/72,41/77,167/74
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 75,41,167
Greatest Common Factor of Numerators i.e. GCF of 75,41,167 is 1 .
LCM of Denominators means LCM of 72,77,74 as per the given fractions.
LCM of 72,77,74 is 205128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,41,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 75,41,167 . The biggest common factor number is the GCF number.
So the greatest common factor 75,41,167 is 1.
Lets's calculate LCM of 72,77,74
2 | 72, 77, 74 |
36, 77, 37 |
∴ So the LCM of the given numbers is 2 x 36 x 77 x 37 = 205128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205128
Therefore, the GCF of Fractions 75/72,41/77,167/74 is 1/205128
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 72,77,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,77,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(72,77,74) x common factors =1 x 2 = 2
LCM(72,77,74) = ( 72 × 77 × 74 ) / 2
LCM(72,77,74) = 410256 / 2
LCM(72,77,74) = 205128
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 75/72, 41/77, 167/74?
Answer: GCF of Numerators as per given numbers 75/72, 41/77, 167/74 is
GCF of Numerators i.e. for 75,41,167 is 1
LCM of denominators i.e. for 72,77,74 is 205128.
Thus, GCF of Fractions is 1/205128.Finally, GCF of Fractions for 75/72, 41/77, 167/74 is 1/205128.