Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6492/504,4724/1368
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 6492,4724
Greatest Common Factor of Numerators i.e. GCF of 6492,4724 is 4 .
LCM of Denominators means LCM of 504,1368 as per the given fractions.
LCM of 504,1368 is 9576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6492,4724
2 | 6492, 4724 |
2 | 3246, 2362 |
1623, 1181 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6492
List of positive integer factors of 6492 that divides 6492 without a remainder.
1,2,3,4,6,12,541,1082,1623,2164,3246,6492
Factors of 4724
List of positive integer factors of 4724 that divides 4724 without a remainder.
1,2,4,1181,2362,4724
Greatest Common Factor
We found the factors 6492,4724 . The biggest common factor number is the GCF number.
So the greatest common factor 6492,4724 is 4.
Lets's calculate LCM of 504,1368
2 | 504, 1368 |
2 | 252, 684 |
2 | 126, 342 |
3 | 63, 171 |
3 | 21, 57 |
7, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 19 = 9576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9576
Therefore, the GCF of Fractions 6492/504,4724/1368 is 4/9576
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 504,1368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,1368) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(504,1368) x common factors =72 x 1 = 72
LCM(504,1368) = ( 504 × 1368 ) / 72
LCM(504,1368) = 689472 / 72
LCM(504,1368) = 9576
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 6492/504, 4724/1368?
Answer: GCF of Numerators as per given numbers 6492/504, 4724/1368 is
GCF of Numerators i.e. for 6492,4724 is 4
LCM of denominators i.e. for 504,1368 is 9576.
Thus, GCF of Fractions is 4/9576.Finally, GCF of Fractions for 6492/504, 4724/1368 is 4/9576.