GCF of 6497/773, 8544/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6497/773, 8544/638 i.e 89/493174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6497/773, 8544/638.
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 6497/773,8544/638?
Given fractions are 6497/773,8544/638
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 6497/773,8544/638, numerators are 6497,8544
Denominators are 773,638
The GCF of 6497,8544 is 89 .
LCM of 773,638 is 493174.
The greatest common factor of 6497/773,8544/638 = [GCF of 6497,8544]/[LCM of 773,638]= 89/493174
Therefore, the GCF of 6497/773,8544/638 is 89/493174.
To find the highest common factor of 6497,8544, we have to find the factors of both numbers and list the highest common factor.
The factors of 6497 are 1, 73, 89, 6497
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The HCF of 6497,8544 is 89.
Lets's calculate GCF of 6497,8544
| 89 | 6497, 8544 |
| 73, 96 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 6497,8544 By Matching Biggest Common Factor Method
Now, list down the factors of 6497
:1,73,89,6497
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 6497,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 6497,8544 is 89.
Lets's calculate LCM of 773,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 493174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/493174
Therefore, the GCF of Fractions 6497/773,8544/638 is 89/493174
Least Common Multiple of 773,638 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 773,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,638) x common factors =1 x 1 = 1
LCM(773,638) = ( 773 × 638 ) / 1
LCM(773,638) = 493174 / 1
LCM(773,638) = 493174
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FAQs on GCF of Fractions of 6497/773, 8544/638
1. What is the HCF of 6497,8544?
The HCF of 6497,8544 is 89
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 6497/773, 8544/638?
Answer: GCF of Numerators as per given numbers 6497/773, 8544/638 is
GCF of Numerators i.e. for 6497,8544 is 89
LCM of denominators i.e. for 773,638 is 493174.
Thus, GCF of Fractions is 89/493174.Finally, GCF of Fractions for 6497/773, 8544/638 is 89/493174.