GCF of 6328/546, 5323/4587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6328/546, 5323/4587 i.e 1/834834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6328/546, 5323/4587.
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 6328/546,5323/4587?
Given fractions are 6328/546,5323/4587
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 6328/546,5323/4587, numerators are 6328,5323
Denominators are 546,4587
The GCF of 6328,5323 is 1 .
LCM of 546,4587 is 834834.
The greatest common factor of 6328/546,5323/4587 = [GCF of 6328,5323]/[LCM of 546,4587]= 1/834834
Therefore, the GCF of 6328/546,5323/4587 is 1/834834.
To find the highest common factor of 6328,5323, we have to find the factors of both numbers and list the highest common factor.
The factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328
The factors of 5323 are 1, 5323
The HCF of 6328,5323 is 1.
Lets's calculate GCF of 6328,5323
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6328,5323 By Matching Biggest Common Factor Method
Now, list down the factors of 6328
:1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328
Now, list down the factors of 5323
:1,5323
Greatest Common Factor
We found the factors 6328,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 6328,5323 is 1.
Lets's calculate LCM of 546,4587
| 3 | 546, 4587 |
| 182, 1529 |
∴ So the LCM of the given numbers is 3 x 182 x 1529 = 834834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834834
Therefore, the GCF of Fractions 6328/546,5323/4587 is 1/834834
Least Common Multiple of 546,4587 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 546,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,4587) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(546,4587) x common factors =3 x 1 = 3
LCM(546,4587) = ( 546 × 4587 ) / 3
LCM(546,4587) = 2504502 / 3
LCM(546,4587) = 834834
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FAQs on GCF of Fractions of 6328/546, 5323/4587
1. What is the HCF of 6328,5323?
The HCF of 6328,5323 is 1
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 6328/546, 5323/4587?
Answer: GCF of Numerators as per given numbers 6328/546, 5323/4587 is
GCF of Numerators i.e. for 6328,5323 is 1
LCM of denominators i.e. for 546,4587 is 834834.
Thus, GCF of Fractions is 1/834834.Finally, GCF of Fractions for 6328/546, 5323/4587 is 1/834834.