Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7951/670,5444/1244
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 7951,5444
Greatest Common Factor of Numerators i.e. GCF of 7951,5444 is 1 .
LCM of Denominators means LCM of 670,1244 as per the given fractions.
LCM of 670,1244 is 416740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7951,5444
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7951
List of positive integer factors of 7951 that divides 7951 without a remainder.
1,7951
Factors of 5444
List of positive integer factors of 5444 that divides 5444 without a remainder.
1,2,4,1361,2722,5444
Greatest Common Factor
We found the factors 7951,5444 . The biggest common factor number is the GCF number.
So the greatest common factor 7951,5444 is 1.
Lets's calculate LCM of 670,1244
2 | 670, 1244 |
335, 622 |
∴ So the LCM of the given numbers is 2 x 335 x 622 = 416740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416740
Therefore, the GCF of Fractions 7951/670,5444/1244 is 1/416740
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 670,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,1244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,1244) x common factors =2 x 1 = 2
LCM(670,1244) = ( 670 × 1244 ) / 2
LCM(670,1244) = 833480 / 2
LCM(670,1244) = 416740
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 7951/670, 5444/1244?
Answer: GCF of Numerators as per given numbers 7951/670, 5444/1244 is
GCF of Numerators i.e. for 7951,5444 is 1
LCM of denominators i.e. for 670,1244 is 416740.
Thus, GCF of Fractions is 1/416740.Finally, GCF of Fractions for 7951/670, 5444/1244 is 1/416740.