Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 851/87,974/77,253/44
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 851,974,253
Greatest Common Factor of Numerators i.e. GCF of 851,974,253 is 1 .
LCM of Denominators means LCM of 87,77,44 as per the given fractions.
LCM of 87,77,44 is 26796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 851,974,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 851,974,253 . The biggest common factor number is the GCF number.
So the greatest common factor 851,974,253 is 1.
Lets's calculate LCM of 87,77,44
11 | 87, 77, 44 |
87, 7, 4 |
∴ So the LCM of the given numbers is 11 x 87 x 7 x 4 = 26796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26796
Therefore, the GCF of Fractions 851/87,974/77,253/44 is 1/26796
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 87,77,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,77,44) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(87,77,44) x common factors =1 x 11 = 11
LCM(87,77,44) = ( 87 × 77 × 44 ) / 11
LCM(87,77,44) = 294756 / 11
LCM(87,77,44) = 26796
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 851/87, 974/77, 253/44?
Answer: GCF of Numerators as per given numbers 851/87, 974/77, 253/44 is
GCF of Numerators i.e. for 851,974,253 is 1
LCM of denominators i.e. for 87,77,44 is 26796.
Thus, GCF of Fractions is 1/26796.Finally, GCF of Fractions for 851/87, 974/77, 253/44 is 1/26796.