Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7179/887,6448/638
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 7179,6448
Greatest Common Factor of Numerators i.e. GCF of 7179,6448 is 1 .
LCM of Denominators means LCM of 887,638 as per the given fractions.
LCM of 887,638 is 565906 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7179,6448
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7179
List of positive integer factors of 7179 that divides 7179 without a remainder.
1,3,2393,7179
Factors of 6448
List of positive integer factors of 6448 that divides 6448 without a remainder.
1,2,4,8,13,16,26,31,52,62,104,124,208,248,403,496,806,1612,3224,6448
Greatest Common Factor
We found the factors 7179,6448 . The biggest common factor number is the GCF number.
So the greatest common factor 7179,6448 is 1.
Lets's calculate LCM of 887,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 565906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565906
Therefore, the GCF of Fractions 7179/887,6448/638 is 1/565906
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 887,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,638) x common factors =1 x 1 = 1
LCM(887,638) = ( 887 × 638 ) / 1
LCM(887,638) = 565906 / 1
LCM(887,638) = 565906
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 7179/887, 6448/638?
Answer: GCF of Numerators as per given numbers 7179/887, 6448/638 is
GCF of Numerators i.e. for 7179,6448 is 1
LCM of denominators i.e. for 887,638 is 565906.
Thus, GCF of Fractions is 1/565906.Finally, GCF of Fractions for 7179/887, 6448/638 is 1/565906.