Use our free GCF of Fractions Calculator tool to compute the GCF of 620/344, 974/128 i.e 2/5504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 620/344, 974/128.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/344,974/128
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 620/344,974/128, numerators are 620,974
Denominators are 344,128
The GCF of 620,974 is 2 .
LCM of 344,128 is 5504.
The greatest common factor of 620/344,974/128 = [GCF of 620,974]/[LCM of 344,128]= 2/5504
Therefore, the GCF of 620/344,974/128 is 2/5504.
To find the highest common factor of 620,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The factors of 974 are 1, 2, 487, 974
The HCF of 620,974 is 2.
Lets's calculate GCF of 620,974
2 | 620, 974 |
310, 487 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 620,974 . The biggest common factor number is the GCF number.
So the greatest common factor 620,974 is 2.
Lets's calculate LCM of 344,128
2 | 344, 128 |
2 | 172, 64 |
2 | 86, 32 |
43, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 16 = 5504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5504
Therefore, the GCF of Fractions 620/344,974/128 is 2/5504
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 344,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,128) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(344,128) x common factors =8 x 1 = 8
LCM(344,128) = ( 344 × 128 ) / 8
LCM(344,128) = 44032 / 8
LCM(344,128) = 5504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 620,974?
The HCF of 620,974 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 620/344, 974/128?
Answer: GCF of Numerators as per given numbers 620/344, 974/128 is
GCF of Numerators i.e. for 620,974 is 2
LCM of denominators i.e. for 344,128 is 5504.
Thus, GCF of Fractions is 2/5504.Finally, GCF of Fractions for 620/344, 974/128 is 2/5504.