GCF of 1626/474, 9213/9744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1626/474, 9213/9744 i.e 3/769776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1626/474, 9213/9744.
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 1626/474,9213/9744?
Given fractions are 1626/474,9213/9744
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 1626/474,9213/9744, numerators are 1626,9213
Denominators are 474,9744
The GCF of 1626,9213 is 3 .
LCM of 474,9744 is 769776.
The greatest common factor of 1626/474,9213/9744 = [GCF of 1626,9213]/[LCM of 474,9744]= 3/769776
Therefore, the GCF of 1626/474,9213/9744 is 3/769776.
To find the highest common factor of 1626,9213, we have to find the factors of both numbers and list the highest common factor.
The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626
The factors of 9213 are 1, 3, 37, 83, 111, 249, 3071, 9213
The HCF of 1626,9213 is 3.
Lets's calculate GCF of 1626,9213
| 3 | 1626, 9213 |
| 542, 3071 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1626,9213 By Matching Biggest Common Factor Method
Now, list down the factors of 1626
:1,2,3,6,271,542,813,1626
Now, list down the factors of 9213
:1,3,37,83,111,249,3071,9213
Greatest Common Factor
We found the factors 1626,9213 . The biggest common factor number is the GCF number.
So the greatest common factor 1626,9213 is 3.
Lets's calculate LCM of 474,9744
| 2 | 474, 9744 |
| 3 | 237, 4872 |
| 79, 1624 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 1624 = 769776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/769776
Therefore, the GCF of Fractions 1626/474,9213/9744 is 3/769776
Least Common Multiple of 474,9744 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 474,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,9744) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,9744) x common factors =6 x 1 = 6
LCM(474,9744) = ( 474 × 9744 ) / 6
LCM(474,9744) = 4618656 / 6
LCM(474,9744) = 769776
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FAQs on GCF of Fractions of 1626/474, 9213/9744
1. What is the HCF of 1626,9213?
The HCF of 1626,9213 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 1626/474, 9213/9744?
Answer: GCF of Numerators as per given numbers 1626/474, 9213/9744 is
GCF of Numerators i.e. for 1626,9213 is 3
LCM of denominators i.e. for 474,9744 is 769776.
Thus, GCF of Fractions is 3/769776.Finally, GCF of Fractions for 1626/474, 9213/9744 is 3/769776.