Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/64,948/34,222/925
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 793,948,222
Greatest Common Factor of Numerators i.e. GCF of 793,948,222 is 1 .
LCM of Denominators means LCM of 64,34,925 as per the given fractions.
LCM of 64,34,925 is 1006400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 793,948,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 793,948,222 . The biggest common factor number is the GCF number.
So the greatest common factor 793,948,222 is 1.
Lets's calculate LCM of 64,34,925
2 | 64, 34, 925 |
32, 17, 925 |
∴ So the LCM of the given numbers is 2 x 32 x 17 x 925 = 1006400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1006400
Therefore, the GCF of Fractions 793/64,948/34,222/925 is 1/1006400
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 64,34,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,34,925) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,34,925) x common factors =1 x 2 = 2
LCM(64,34,925) = ( 64 × 34 × 925 ) / 2
LCM(64,34,925) = 2012800 / 2
LCM(64,34,925) = 1006400
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 793/64, 948/34, 222/925?
Answer: GCF of Numerators as per given numbers 793/64, 948/34, 222/925 is
GCF of Numerators i.e. for 793,948,222 is 1
LCM of denominators i.e. for 64,34,925 is 1006400.
Thus, GCF of Fractions is 1/1006400.Finally, GCF of Fractions for 793/64, 948/34, 222/925 is 1/1006400.