GCF of 655/512, 7704/9894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 655/512, 7704/9894 i.e 1/2532864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/512, 7704/9894.
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 655/512,7704/9894?
Given fractions are 655/512,7704/9894
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 655/512,7704/9894, numerators are 655,7704
Denominators are 512,9894
The GCF of 655,7704 is 1 .
LCM of 512,9894 is 2532864.
The greatest common factor of 655/512,7704/9894 = [GCF of 655,7704]/[LCM of 512,9894]= 1/2532864
Therefore, the GCF of 655/512,7704/9894 is 1/2532864.
To find the highest common factor of 655,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 655,7704 is 1.
Lets's calculate GCF of 655,7704
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 655,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 655,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 655,7704 is 1.
Lets's calculate LCM of 512,9894
| 2 | 512, 9894 |
| 256, 4947 |
∴ So the LCM of the given numbers is 2 x 256 x 4947 = 2532864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2532864
Therefore, the GCF of Fractions 655/512,7704/9894 is 1/2532864
Least Common Multiple of 512,9894 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 512,9894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,9894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,9894) x common factors =2 x 1 = 2
LCM(512,9894) = ( 512 × 9894 ) / 2
LCM(512,9894) = 5065728 / 2
LCM(512,9894) = 2532864
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FAQs on GCF of Fractions of 655/512, 7704/9894
1. What is the HCF of 655,7704?
The HCF of 655,7704 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 655/512, 7704/9894?
Answer: GCF of Numerators as per given numbers 655/512, 7704/9894 is
GCF of Numerators i.e. for 655,7704 is 1
LCM of denominators i.e. for 512,9894 is 2532864.
Thus, GCF of Fractions is 1/2532864.Finally, GCF of Fractions for 655/512, 7704/9894 is 1/2532864.