GCF of 6496/864, 7743/9047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6496/864, 7743/9047 i.e 29/7816608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6496/864, 7743/9047.
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 6496/864,7743/9047?
Given fractions are 6496/864,7743/9047
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 6496/864,7743/9047, numerators are 6496,7743
Denominators are 864,9047
The GCF of 6496,7743 is 29 .
LCM of 864,9047 is 7816608.
The greatest common factor of 6496/864,7743/9047 = [GCF of 6496,7743]/[LCM of 864,9047]= 29/7816608
Therefore, the GCF of 6496/864,7743/9047 is 29/7816608.
To find the highest common factor of 6496,7743, we have to find the factors of both numbers and list the highest common factor.
The factors of 6496 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248, 6496
The factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743
The HCF of 6496,7743 is 29.
Lets's calculate GCF of 6496,7743
| 29 | 6496, 7743 |
| 224, 267 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 6496,7743 By Matching Biggest Common Factor Method
Now, list down the factors of 6496
:1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496
Now, list down the factors of 7743
:1,3,29,87,89,267,2581,7743
Greatest Common Factor
We found the factors 6496,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 6496,7743 is 29.
Lets's calculate LCM of 864,9047
Given numbers has no common factors except 1. So, there LCM is their product i.e 7816608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/7816608
Therefore, the GCF of Fractions 6496/864,7743/9047 is 29/7816608
Least Common Multiple of 864,9047 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 864,9047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,9047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,9047) x common factors =1 x 1 = 1
LCM(864,9047) = ( 864 × 9047 ) / 1
LCM(864,9047) = 7816608 / 1
LCM(864,9047) = 7816608
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FAQs on GCF of Fractions of 6496/864, 7743/9047
1. What is the HCF of 6496,7743?
The HCF of 6496,7743 is 29
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 6496/864, 7743/9047?
Answer: GCF of Numerators as per given numbers 6496/864, 7743/9047 is
GCF of Numerators i.e. for 6496,7743 is 29
LCM of denominators i.e. for 864,9047 is 7816608.
Thus, GCF of Fractions is 29/7816608.Finally, GCF of Fractions for 6496/864, 7743/9047 is 29/7816608.