GCF of 4522/512, 4707/8768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4522/512, 4707/8768 i.e 1/70144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4522/512, 4707/8768.
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 4522/512,4707/8768?
Given fractions are 4522/512,4707/8768
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 4522/512,4707/8768, numerators are 4522,4707
Denominators are 512,8768
The GCF of 4522,4707 is 1 .
LCM of 512,8768 is 70144.
The greatest common factor of 4522/512,4707/8768 = [GCF of 4522,4707]/[LCM of 512,8768]= 1/70144
Therefore, the GCF of 4522/512,4707/8768 is 1/70144.
To find the highest common factor of 4522,4707, we have to find the factors of both numbers and list the highest common factor.
The factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522
The factors of 4707 are 1, 3, 9, 523, 1569, 4707
The HCF of 4522,4707 is 1.
Lets's calculate GCF of 4522,4707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4522,4707 By Matching Biggest Common Factor Method
Now, list down the factors of 4522
:1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522
Now, list down the factors of 4707
:1,3,9,523,1569,4707
Greatest Common Factor
We found the factors 4522,4707 . The biggest common factor number is the GCF number.
So the greatest common factor 4522,4707 is 1.
Lets's calculate LCM of 512,8768
| 2 | 512, 8768 |
| 2 | 256, 4384 |
| 2 | 128, 2192 |
| 2 | 64, 1096 |
| 2 | 32, 548 |
| 2 | 16, 274 |
| 8, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 8 x 137 = 70144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70144
Therefore, the GCF of Fractions 4522/512,4707/8768 is 1/70144
Least Common Multiple of 512,8768 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 512,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,8768) = 64
common factors(in case of two or more numbers have common factors) = 1
GCF(512,8768) x common factors =64 x 1 = 64
LCM(512,8768) = ( 512 × 8768 ) / 64
LCM(512,8768) = 4489216 / 64
LCM(512,8768) = 70144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4522/512, 4707/8768
1. What is the HCF of 4522,4707?
The HCF of 4522,4707 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 4522/512, 4707/8768?
Answer: GCF of Numerators as per given numbers 4522/512, 4707/8768 is
GCF of Numerators i.e. for 4522,4707 is 1
LCM of denominators i.e. for 512,8768 is 70144.
Thus, GCF of Fractions is 1/70144.Finally, GCF of Fractions for 4522/512, 4707/8768 is 1/70144.