Use our free GCF of Fractions Calculator tool to compute the GCF of 1452/637, 6444/5641 i.e 12/3593317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1452/637, 6444/5641.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1452/637,6444/5641
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 1452/637,6444/5641, numerators are 1452,6444
Denominators are 637,5641
The GCF of 1452,6444 is 12 .
LCM of 637,5641 is 3593317.
The greatest common factor of 1452/637,6444/5641 = [GCF of 1452,6444]/[LCM of 637,5641]= 12/3593317
Therefore, the GCF of 1452/637,6444/5641 is 12/3593317.
To find the highest common factor of 1452,6444, we have to find the factors of both numbers and list the highest common factor.
The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452
The factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444
The HCF of 1452,6444 is 12.
Lets's calculate GCF of 1452,6444
2 | 1452, 6444 |
2 | 726, 3222 |
3 | 363, 1611 |
121, 537 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 1452
:1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452
Now, list down the factors of 6444
:1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444
Greatest Common Factor
We found the factors 1452,6444 . The biggest common factor number is the GCF number.
So the greatest common factor 1452,6444 is 12.
Lets's calculate LCM of 637,5641
Given numbers has no common factors except 1. So, there LCM is their product i.e 3593317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3593317
Therefore, the GCF of Fractions 1452/637,6444/5641 is 12/3593317
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 637,5641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,5641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,5641) x common factors =1 x 1 = 1
LCM(637,5641) = ( 637 × 5641 ) / 1
LCM(637,5641) = 3593317 / 1
LCM(637,5641) = 3593317
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1452,6444?
The HCF of 1452,6444 is 12
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 1452/637, 6444/5641?
Answer: GCF of Numerators as per given numbers 1452/637, 6444/5641 is
GCF of Numerators i.e. for 1452,6444 is 12
LCM of denominators i.e. for 637,5641 is 3593317.
Thus, GCF of Fractions is 12/3593317.Finally, GCF of Fractions for 1452/637, 6444/5641 is 12/3593317.