Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6552/531,7857/307
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 6552,7857
Greatest Common Factor of Numerators i.e. GCF of 6552,7857 is 9 .
LCM of Denominators means LCM of 531,307 as per the given fractions.
LCM of 531,307 is 163017 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6552,7857
3 | 6552, 7857 |
3 | 2184, 2619 |
728, 873 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 6552
List of positive integer factors of 6552 that divides 6552 without a remainder.
1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1,3,9,27,81,97,291,873,2619,7857
Greatest Common Factor
We found the factors 6552,7857 . The biggest common factor number is the GCF number.
So the greatest common factor 6552,7857 is 9.
Lets's calculate LCM of 531,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 163017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/163017
Therefore, the GCF of Fractions 6552/531,7857/307 is 9/163017
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 531,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(531,307) x common factors =1 x 1 = 1
LCM(531,307) = ( 531 × 307 ) / 1
LCM(531,307) = 163017 / 1
LCM(531,307) = 163017
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 6552/531, 7857/307?
Answer: GCF of Numerators as per given numbers 6552/531, 7857/307 is
GCF of Numerators i.e. for 6552,7857 is 9
LCM of denominators i.e. for 531,307 is 163017.
Thus, GCF of Fractions is 9/163017.Finally, GCF of Fractions for 6552/531, 7857/307 is 9/163017.