GCF of 1446/921, 6225/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1446/921, 6225/698 i.e 3/642858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1446/921, 6225/698.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1446/921,6225/698?
Given fractions are 1446/921,6225/698
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 1446/921,6225/698, numerators are 1446,6225
Denominators are 921,698
The GCF of 1446,6225 is 3 .
LCM of 921,698 is 642858.
The greatest common factor of 1446/921,6225/698 = [GCF of 1446,6225]/[LCM of 921,698]= 3/642858
Therefore, the GCF of 1446/921,6225/698 is 3/642858.
To find the highest common factor of 1446,6225, we have to find the factors of both numbers and list the highest common factor.
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The factors of 6225 are 1, 3, 5, 15, 25, 75, 83, 249, 415, 1245, 2075, 6225
The HCF of 1446,6225 is 3.
Lets's calculate GCF of 1446,6225
| 3 | 1446, 6225 |
| 482, 2075 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1446,6225 By Matching Biggest Common Factor Method
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Now, list down the factors of 6225
:1,3,5,15,25,75,83,249,415,1245,2075,6225
Greatest Common Factor
We found the factors 1446,6225 . The biggest common factor number is the GCF number.
So the greatest common factor 1446,6225 is 3.
Lets's calculate LCM of 921,698
Given numbers has no common factors except 1. So, there LCM is their product i.e 642858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/642858
Therefore, the GCF of Fractions 1446/921,6225/698 is 3/642858
Least Common Multiple of 921,698 with GCF Formula
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 921,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,698) x common factors =1 x 1 = 1
LCM(921,698) = ( 921 × 698 ) / 1
LCM(921,698) = 642858 / 1
LCM(921,698) = 642858
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FAQs on GCF of Fractions of 1446/921, 6225/698
1. What is the HCF of 1446,6225?
The HCF of 1446,6225 is 3
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 1446/921, 6225/698?
Answer: GCF of Numerators as per given numbers 1446/921, 6225/698 is
GCF of Numerators i.e. for 1446,6225 is 3
LCM of denominators i.e. for 921,698 is 642858.
Thus, GCF of Fractions is 3/642858.Finally, GCF of Fractions for 1446/921, 6225/698 is 3/642858.