Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6176/873,4804/3654
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 6176,4804
Greatest Common Factor of Numerators i.e. GCF of 6176,4804 is 4 .
LCM of Denominators means LCM of 873,3654 as per the given fractions.
LCM of 873,3654 is 354438 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6176,4804
2 | 6176, 4804 |
2 | 3088, 2402 |
1544, 1201 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6176
List of positive integer factors of 6176 that divides 6176 without a remainder.
1,2,4,8,16,32,193,386,772,1544,3088,6176
Factors of 4804
List of positive integer factors of 4804 that divides 4804 without a remainder.
1,2,4,1201,2402,4804
Greatest Common Factor
We found the factors 6176,4804 . The biggest common factor number is the GCF number.
So the greatest common factor 6176,4804 is 4.
Lets's calculate LCM of 873,3654
3 | 873, 3654 |
3 | 291, 1218 |
97, 406 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 406 = 354438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/354438
Therefore, the GCF of Fractions 6176/873,4804/3654 is 4/354438
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 873,3654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,3654) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,3654) x common factors =9 x 1 = 9
LCM(873,3654) = ( 873 × 3654 ) / 9
LCM(873,3654) = 3189942 / 9
LCM(873,3654) = 354438
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 6176/873, 4804/3654?
Answer: GCF of Numerators as per given numbers 6176/873, 4804/3654 is
GCF of Numerators i.e. for 6176,4804 is 4
LCM of denominators i.e. for 873,3654 is 354438.
Thus, GCF of Fractions is 4/354438.Finally, GCF of Fractions for 6176/873, 4804/3654 is 4/354438.