GCF of 6376/923, 7464/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6376/923, 7464/785 i.e 8/724555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6376/923, 7464/785.
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 6376/923,7464/785?
Given fractions are 6376/923,7464/785
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 6376/923,7464/785, numerators are 6376,7464
Denominators are 923,785
The GCF of 6376,7464 is 8 .
LCM of 923,785 is 724555.
The greatest common factor of 6376/923,7464/785 = [GCF of 6376,7464]/[LCM of 923,785]= 8/724555
Therefore, the GCF of 6376/923,7464/785 is 8/724555.
To find the highest common factor of 6376,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 6376,7464 is 8.
Lets's calculate GCF of 6376,7464
| 2 | 6376, 7464 |
| 2 | 3188, 3732 |
| 2 | 1594, 1866 |
| 797, 933 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6376,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 6376
:1,2,4,8,797,1594,3188,6376
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 6376,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 6376,7464 is 8.
Lets's calculate LCM of 923,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 724555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/724555
Therefore, the GCF of Fractions 6376/923,7464/785 is 8/724555
Least Common Multiple of 923,785 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 923,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,785) x common factors =1 x 1 = 1
LCM(923,785) = ( 923 × 785 ) / 1
LCM(923,785) = 724555 / 1
LCM(923,785) = 724555
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FAQs on GCF of Fractions of 6376/923, 7464/785
1. What is the HCF of 6376,7464?
The HCF of 6376,7464 is 8
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 6376/923, 7464/785?
Answer: GCF of Numerators as per given numbers 6376/923, 7464/785 is
GCF of Numerators i.e. for 6376,7464 is 8
LCM of denominators i.e. for 923,785 is 724555.
Thus, GCF of Fractions is 8/724555.Finally, GCF of Fractions for 6376/923, 7464/785 is 8/724555.