Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/72,604/2480
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 129,604
Greatest Common Factor of Numerators i.e. GCF of 129,604 is 1 .
LCM of Denominators means LCM of 72,2480 as per the given fractions.
LCM of 72,2480 is 22320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,604
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Greatest Common Factor
We found the factors 129,604 . The biggest common factor number is the GCF number.
So the greatest common factor 129,604 is 1.
Lets's calculate LCM of 72,2480
2 | 72, 2480 |
2 | 36, 1240 |
2 | 18, 620 |
9, 310 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 310 = 22320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22320
Therefore, the GCF of Fractions 129/72,604/2480 is 1/22320
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 72,2480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,2480) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(72,2480) x common factors =8 x 1 = 8
LCM(72,2480) = ( 72 × 2480 ) / 8
LCM(72,2480) = 178560 / 8
LCM(72,2480) = 22320
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 129/72, 604/2480?
Answer: GCF of Numerators as per given numbers 129/72, 604/2480 is
GCF of Numerators i.e. for 129,604 is 1
LCM of denominators i.e. for 72,2480 is 22320.
Thus, GCF of Fractions is 1/22320.Finally, GCF of Fractions for 129/72, 604/2480 is 1/22320.