Use our free GCF of Fractions Calculator tool to compute the GCF of 628/980, 490/196 i.e 2/980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/980, 490/196.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 628/980,490/196
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 628/980,490/196, numerators are 628,490
Denominators are 980,196
The GCF of 628,490 is 2 .
LCM of 980,196 is 980.
The greatest common factor of 628/980,490/196 = [GCF of 628,490]/[LCM of 980,196]= 2/980
Therefore, the GCF of 628/980,490/196 is 2/980.
To find the highest common factor of 628,490, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 628,490 is 2.
Lets's calculate GCF of 628,490
2 | 628, 490 |
314, 245 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 628,490 . The biggest common factor number is the GCF number.
So the greatest common factor 628,490 is 2.
Lets's calculate LCM of 980,196
2 | 980, 196 |
2 | 490, 98 |
7 | 245, 49 |
7 | 35, 7 |
5, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 5 x 1 = 980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/980
Therefore, the GCF of Fractions 628/980,490/196 is 2/980
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 980,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,196) = 196
common factors(in case of two or more numbers have common factors) = 1
GCF(980,196) x common factors =196 x 1 = 196
LCM(980,196) = ( 980 × 196 ) / 196
LCM(980,196) = 192080 / 196
LCM(980,196) = 980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 628,490?
The HCF of 628,490 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 628/980, 490/196?
Answer: GCF of Numerators as per given numbers 628/980, 490/196 is
GCF of Numerators i.e. for 628,490 is 2
LCM of denominators i.e. for 980,196 is 980.
Thus, GCF of Fractions is 2/980.Finally, GCF of Fractions for 628/980, 490/196 is 2/980.