Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/46,754/4964
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 892,754
Greatest Common Factor of Numerators i.e. GCF of 892,754 is 2 .
LCM of Denominators means LCM of 46,4964 as per the given fractions.
LCM of 46,4964 is 114172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 892,754
2 | 892, 754 |
446, 377 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 892,754 . The biggest common factor number is the GCF number.
So the greatest common factor 892,754 is 2.
Lets's calculate LCM of 46,4964
2 | 46, 4964 |
23, 2482 |
∴ So the LCM of the given numbers is 2 x 23 x 2482 = 114172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114172
Therefore, the GCF of Fractions 892/46,754/4964 is 2/114172
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 46,4964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,4964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,4964) x common factors =2 x 1 = 2
LCM(46,4964) = ( 46 × 4964 ) / 2
LCM(46,4964) = 228344 / 2
LCM(46,4964) = 114172
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 892/46, 754/4964?
Answer: GCF of Numerators as per given numbers 892/46, 754/4964 is
GCF of Numerators i.e. for 892,754 is 2
LCM of denominators i.e. for 46,4964 is 114172.
Thus, GCF of Fractions is 2/114172.Finally, GCF of Fractions for 892/46, 754/4964 is 2/114172.