GCF of 7446/640, 7362/6344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7446/640, 7362/6344 i.e 6/507520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7446/640, 7362/6344.
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 7446/640,7362/6344?
Given fractions are 7446/640,7362/6344
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 7446/640,7362/6344, numerators are 7446,7362
Denominators are 640,6344
The GCF of 7446,7362 is 6 .
LCM of 640,6344 is 507520.
The greatest common factor of 7446/640,7362/6344 = [GCF of 7446,7362]/[LCM of 640,6344]= 6/507520
Therefore, the GCF of 7446/640,7362/6344 is 6/507520.
To find the highest common factor of 7446,7362, we have to find the factors of both numbers and list the highest common factor.
The factors of 7446 are 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The HCF of 7446,7362 is 6.
Lets's calculate GCF of 7446,7362
| 2 | 7446, 7362 |
| 3 | 3723, 3681 |
| 1241, 1227 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7446,7362 By Matching Biggest Common Factor Method
Now, list down the factors of 7446
:1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Greatest Common Factor
We found the factors 7446,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 7446,7362 is 6.
Lets's calculate LCM of 640,6344
| 2 | 640, 6344 |
| 2 | 320, 3172 |
| 2 | 160, 1586 |
| 80, 793 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 80 x 793 = 507520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/507520
Therefore, the GCF of Fractions 7446/640,7362/6344 is 6/507520
Least Common Multiple of 640,6344 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 640,6344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,6344) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(640,6344) x common factors =8 x 1 = 8
LCM(640,6344) = ( 640 × 6344 ) / 8
LCM(640,6344) = 4060160 / 8
LCM(640,6344) = 507520
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FAQs on GCF of Fractions of 7446/640, 7362/6344
1. What is the HCF of 7446,7362?
The HCF of 7446,7362 is 6
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 7446/640, 7362/6344?
Answer: GCF of Numerators as per given numbers 7446/640, 7362/6344 is
GCF of Numerators i.e. for 7446,7362 is 6
LCM of denominators i.e. for 640,6344 is 507520.
Thus, GCF of Fractions is 6/507520.Finally, GCF of Fractions for 7446/640, 7362/6344 is 6/507520.