Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4040/508,3453/624
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 4040,3453
Greatest Common Factor of Numerators i.e. GCF of 4040,3453 is 1 .
LCM of Denominators means LCM of 508,624 as per the given fractions.
LCM of 508,624 is 79248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4040,3453
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4040
List of positive integer factors of 4040 that divides 4040 without a remainder.
1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Factors of 3453
List of positive integer factors of 3453 that divides 3453 without a remainder.
1,3,1151,3453
Greatest Common Factor
We found the factors 4040,3453 . The biggest common factor number is the GCF number.
So the greatest common factor 4040,3453 is 1.
Lets's calculate LCM of 508,624
2 | 508, 624 |
2 | 254, 312 |
127, 156 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 156 = 79248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79248
Therefore, the GCF of Fractions 4040/508,3453/624 is 1/79248
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 508,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,624) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,624) x common factors =4 x 1 = 4
LCM(508,624) = ( 508 × 624 ) / 4
LCM(508,624) = 316992 / 4
LCM(508,624) = 79248
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 4040/508, 3453/624?
Answer: GCF of Numerators as per given numbers 4040/508, 3453/624 is
GCF of Numerators i.e. for 4040,3453 is 1
LCM of denominators i.e. for 508,624 is 79248.
Thus, GCF of Fractions is 1/79248.Finally, GCF of Fractions for 4040/508, 3453/624 is 1/79248.