GCF of 1296/466, 9568/6778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1296/466, 9568/6778 i.e 16/1579274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1296/466, 9568/6778.
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 1296/466,9568/6778?
Given fractions are 1296/466,9568/6778
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 1296/466,9568/6778, numerators are 1296,9568
Denominators are 466,6778
The GCF of 1296,9568 is 16 .
LCM of 466,6778 is 1579274.
The greatest common factor of 1296/466,9568/6778 = [GCF of 1296,9568]/[LCM of 466,6778]= 16/1579274
Therefore, the GCF of 1296/466,9568/6778 is 16/1579274.
To find the highest common factor of 1296,9568, we have to find the factors of both numbers and list the highest common factor.
The factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The HCF of 1296,9568 is 16.
Lets's calculate GCF of 1296,9568
| 2 | 1296, 9568 |
| 2 | 648, 4784 |
| 2 | 324, 2392 |
| 2 | 162, 1196 |
| 81, 598 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1296,9568 By Matching Biggest Common Factor Method
Now, list down the factors of 1296
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Greatest Common Factor
We found the factors 1296,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 1296,9568 is 16.
Lets's calculate LCM of 466,6778
| 2 | 466, 6778 |
| 233, 3389 |
∴ So the LCM of the given numbers is 2 x 233 x 3389 = 1579274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1579274
Therefore, the GCF of Fractions 1296/466,9568/6778 is 16/1579274
Least Common Multiple of 466,6778 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 466,6778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,6778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,6778) x common factors =2 x 1 = 2
LCM(466,6778) = ( 466 × 6778 ) / 2
LCM(466,6778) = 3158548 / 2
LCM(466,6778) = 1579274
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FAQs on GCF of Fractions of 1296/466, 9568/6778
1. What is the HCF of 1296,9568?
The HCF of 1296,9568 is 16
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 1296/466, 9568/6778?
Answer: GCF of Numerators as per given numbers 1296/466, 9568/6778 is
GCF of Numerators i.e. for 1296,9568 is 16
LCM of denominators i.e. for 466,6778 is 1579274.
Thus, GCF of Fractions is 16/1579274.Finally, GCF of Fractions for 1296/466, 9568/6778 is 16/1579274.