Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4662/97,2548/766
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 4662,2548
Greatest Common Factor of Numerators i.e. GCF of 4662,2548 is 14 .
LCM of Denominators means LCM of 97,766 as per the given fractions.
LCM of 97,766 is 74302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4662,2548
2 | 4662, 2548 |
7 | 2331, 1274 |
333, 182 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 4662
List of positive integer factors of 4662 that divides 4662 without a remainder.
1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Factors of 2548
List of positive integer factors of 2548 that divides 2548 without a remainder.
1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548
Greatest Common Factor
We found the factors 4662,2548 . The biggest common factor number is the GCF number.
So the greatest common factor 4662,2548 is 14.
Lets's calculate LCM of 97,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 74302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/74302
Therefore, the GCF of Fractions 4662/97,2548/766 is 14/74302
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 97,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,766) x common factors =1 x 1 = 1
LCM(97,766) = ( 97 × 766 ) / 1
LCM(97,766) = 74302 / 1
LCM(97,766) = 74302
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 4662/97, 2548/766?
Answer: GCF of Numerators as per given numbers 4662/97, 2548/766 is
GCF of Numerators i.e. for 4662,2548 is 14
LCM of denominators i.e. for 97,766 is 74302.
Thus, GCF of Fractions is 14/74302.Finally, GCF of Fractions for 4662/97, 2548/766 is 14/74302.