Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 750/634,4222/343
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 750,4222
Greatest Common Factor of Numerators i.e. GCF of 750,4222 is 2 .
LCM of Denominators means LCM of 634,343 as per the given fractions.
LCM of 634,343 is 217462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 750,4222
2 | 750, 4222 |
375, 2111 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 4222
List of positive integer factors of 4222 that divides 4222 without a remainder.
1,2,2111,4222
Greatest Common Factor
We found the factors 750,4222 . The biggest common factor number is the GCF number.
So the greatest common factor 750,4222 is 2.
Lets's calculate LCM of 634,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 217462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217462
Therefore, the GCF of Fractions 750/634,4222/343 is 2/217462
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 634,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,343) x common factors =1 x 1 = 1
LCM(634,343) = ( 634 × 343 ) / 1
LCM(634,343) = 217462 / 1
LCM(634,343) = 217462
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 750/634, 4222/343?
Answer: GCF of Numerators as per given numbers 750/634, 4222/343 is
GCF of Numerators i.e. for 750,4222 is 2
LCM of denominators i.e. for 634,343 is 217462.
Thus, GCF of Fractions is 2/217462.Finally, GCF of Fractions for 750/634, 4222/343 is 2/217462.