Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2658/97,4764/511
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 2658,4764
Greatest Common Factor of Numerators i.e. GCF of 2658,4764 is 6 .
LCM of Denominators means LCM of 97,511 as per the given fractions.
LCM of 97,511 is 49567 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2658,4764
2 | 2658, 4764 |
3 | 1329, 2382 |
443, 794 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 2658
List of positive integer factors of 2658 that divides 2658 without a remainder.
1,2,3,6,443,886,1329,2658
Factors of 4764
List of positive integer factors of 4764 that divides 4764 without a remainder.
1,2,3,4,6,12,397,794,1191,1588,2382,4764
Greatest Common Factor
We found the factors 2658,4764 . The biggest common factor number is the GCF number.
So the greatest common factor 2658,4764 is 6.
Lets's calculate LCM of 97,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 49567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/49567
Therefore, the GCF of Fractions 2658/97,4764/511 is 6/49567
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 97,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,511) x common factors =1 x 1 = 1
LCM(97,511) = ( 97 × 511 ) / 1
LCM(97,511) = 49567 / 1
LCM(97,511) = 49567
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 2658/97, 4764/511?
Answer: GCF of Numerators as per given numbers 2658/97, 4764/511 is
GCF of Numerators i.e. for 2658,4764 is 6
LCM of denominators i.e. for 97,511 is 49567.
Thus, GCF of Fractions is 6/49567.Finally, GCF of Fractions for 2658/97, 4764/511 is 6/49567.