Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/856,1850/152
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 777,1850
Greatest Common Factor of Numerators i.e. GCF of 777,1850 is 37 .
LCM of Denominators means LCM of 856,152 as per the given fractions.
LCM of 856,152 is 16264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,1850
37 | 777, 1850 |
21, 50 |
∴ So the GCF of the given numbers is 37 = 37
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 1850
List of positive integer factors of 1850 that divides 1850 without a remainder.
1,2,5,10,25,37,50,74,185,370,925,1850
Greatest Common Factor
We found the factors 777,1850 . The biggest common factor number is the GCF number.
So the greatest common factor 777,1850 is 37.
Lets's calculate LCM of 856,152
2 | 856, 152 |
2 | 428, 76 |
2 | 214, 38 |
107, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 19 = 16264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/16264
Therefore, the GCF of Fractions 777/856,1850/152 is 37/16264
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 856,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,152) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(856,152) x common factors =8 x 1 = 8
LCM(856,152) = ( 856 × 152 ) / 8
LCM(856,152) = 130112 / 8
LCM(856,152) = 16264
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 777/856, 1850/152?
Answer: GCF of Numerators as per given numbers 777/856, 1850/152 is
GCF of Numerators i.e. for 777,1850 is 37
LCM of denominators i.e. for 856,152 is 16264.
Thus, GCF of Fractions is 37/16264.Finally, GCF of Fractions for 777/856, 1850/152 is 37/16264.