Use our free GCF of Fractions Calculator tool to compute the GCF of 1644/897, 6302/998 i.e 274/895206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1644/897, 6302/998.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1644/897,6302/998
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 1644/897,6302/998, numerators are 1644,6302
Denominators are 897,998
The GCF of 1644,6302 is 274 .
LCM of 897,998 is 895206.
The greatest common factor of 1644/897,6302/998 = [GCF of 1644,6302]/[LCM of 897,998]= 274/895206
Therefore, the GCF of 1644/897,6302/998 is 274/895206.
To find the highest common factor of 1644,6302, we have to find the factors of both numbers and list the highest common factor.
The factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644
The factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302
The HCF of 1644,6302 is 274.
Lets's calculate GCF of 1644,6302
2 | 1644, 6302 |
137 | 822, 3151 |
6, 23 |
∴ So the GCF of the given numbers is 2 x 137 = 274
Now, list down the factors of 1644
:1,2,3,4,6,12,137,274,411,548,822,1644
Now, list down the factors of 6302
:1,2,23,46,137,274,3151,6302
Greatest Common Factor
We found the factors 1644,6302 . The biggest common factor number is the GCF number.
So the greatest common factor 1644,6302 is 274.
Lets's calculate LCM of 897,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 895206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 274/895206
Therefore, the GCF of Fractions 1644/897,6302/998 is 274/895206
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 897,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,998) x common factors =1 x 1 = 1
LCM(897,998) = ( 897 × 998 ) / 1
LCM(897,998) = 895206 / 1
LCM(897,998) = 895206
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1644,6302?
The HCF of 1644,6302 is 274
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 1644/897, 6302/998?
Answer: GCF of Numerators as per given numbers 1644/897, 6302/998 is
GCF of Numerators i.e. for 1644,6302 is 274
LCM of denominators i.e. for 897,998 is 895206.
Thus, GCF of Fractions is 274/895206.Finally, GCF of Fractions for 1644/897, 6302/998 is 274/895206.