Use our free GCF of Fractions Calculator tool to compute the GCF of 5674/680, 2432/5508 i.e 2/55080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5674/680, 2432/5508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5674/680,2432/5508
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5674/680,2432/5508, numerators are 5674,2432
Denominators are 680,5508
The GCF of 5674,2432 is 2 .
LCM of 680,5508 is 55080.
The greatest common factor of 5674/680,2432/5508 = [GCF of 5674,2432]/[LCM of 680,5508]= 2/55080
Therefore, the GCF of 5674/680,2432/5508 is 2/55080.
To find the highest common factor of 5674,2432, we have to find the factors of both numbers and list the highest common factor.
The factors of 5674 are 1, 2, 2837, 5674
The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432
The HCF of 5674,2432 is 2.
Lets's calculate GCF of 5674,2432
2 | 5674, 2432 |
2837, 1216 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5674
:1,2,2837,5674
Now, list down the factors of 2432
:1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Greatest Common Factor
We found the factors 5674,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 5674,2432 is 2.
Lets's calculate LCM of 680,5508
2 | 680, 5508 |
2 | 340, 2754 |
17 | 170, 1377 |
10, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 10 x 81 = 55080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55080
Therefore, the GCF of Fractions 5674/680,2432/5508 is 2/55080
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 680,5508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,5508) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(680,5508) x common factors =68 x 1 = 68
LCM(680,5508) = ( 680 × 5508 ) / 68
LCM(680,5508) = 3745440 / 68
LCM(680,5508) = 55080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5674,2432?
The HCF of 5674,2432 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 5674/680, 2432/5508?
Answer: GCF of Numerators as per given numbers 5674/680, 2432/5508 is
GCF of Numerators i.e. for 5674,2432 is 2
LCM of denominators i.e. for 680,5508 is 55080.
Thus, GCF of Fractions is 2/55080.Finally, GCF of Fractions for 5674/680, 2432/5508 is 2/55080.