Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/31,626/80,416/376
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 530,626,416
Greatest Common Factor of Numerators i.e. GCF of 530,626,416 is 2 .
LCM of Denominators means LCM of 31,80,376 as per the given fractions.
LCM of 31,80,376 is 116560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,626,416
2 | 530, 626, 416 |
265, 313, 208 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 530,626,416 . The biggest common factor number is the GCF number.
So the greatest common factor 530,626,416 is 2.
Lets's calculate LCM of 31,80,376
2 | 31, 80, 376 |
2 | 31, 40, 188 |
2 | 31, 20, 94 |
31, 10, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 10 x 47 = 116560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116560
Therefore, the GCF of Fractions 530/31,626/80,416/376 is 2/116560
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 31,80,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,80,376) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(31,80,376) x common factors =1 x 8 = 8
LCM(31,80,376) = ( 31 × 80 × 376 ) / 8
LCM(31,80,376) = 932480 / 8
LCM(31,80,376) = 116560
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 530/31, 626/80, 416/376?
Answer: GCF of Numerators as per given numbers 530/31, 626/80, 416/376 is
GCF of Numerators i.e. for 530,626,416 is 2
LCM of denominators i.e. for 31,80,376 is 116560.
Thus, GCF of Fractions is 2/116560.Finally, GCF of Fractions for 530/31, 626/80, 416/376 is 2/116560.