GCF of 7432/512, 7249/1664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7432/512, 7249/1664 i.e 1/6656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7432/512, 7249/1664.
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 7432/512,7249/1664?
Given fractions are 7432/512,7249/1664
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 7432/512,7249/1664, numerators are 7432,7249
Denominators are 512,1664
The GCF of 7432,7249 is 1 .
LCM of 512,1664 is 6656.
The greatest common factor of 7432/512,7249/1664 = [GCF of 7432,7249]/[LCM of 512,1664]= 1/6656
Therefore, the GCF of 7432/512,7249/1664 is 1/6656.
To find the highest common factor of 7432,7249, we have to find the factors of both numbers and list the highest common factor.
The factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432
The factors of 7249 are 1, 11, 659, 7249
The HCF of 7432,7249 is 1.
Lets's calculate GCF of 7432,7249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7432,7249 By Matching Biggest Common Factor Method
Now, list down the factors of 7432
:1,2,4,8,929,1858,3716,7432
Now, list down the factors of 7249
:1,11,659,7249
Greatest Common Factor
We found the factors 7432,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 7432,7249 is 1.
Lets's calculate LCM of 512,1664
| 2 | 512, 1664 |
| 2 | 256, 832 |
| 2 | 128, 416 |
| 2 | 64, 208 |
| 2 | 32, 104 |
| 2 | 16, 52 |
| 2 | 8, 26 |
| 4, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4 x 13 = 6656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6656
Therefore, the GCF of Fractions 7432/512,7249/1664 is 1/6656
Least Common Multiple of 512,1664 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 512,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,1664) = 128
common factors(in case of two or more numbers have common factors) = 1
GCF(512,1664) x common factors =128 x 1 = 128
LCM(512,1664) = ( 512 × 1664 ) / 128
LCM(512,1664) = 851968 / 128
LCM(512,1664) = 6656
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FAQs on GCF of Fractions of 7432/512, 7249/1664
1. What is the HCF of 7432,7249?
The HCF of 7432,7249 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 7432/512, 7249/1664?
Answer: GCF of Numerators as per given numbers 7432/512, 7249/1664 is
GCF of Numerators i.e. for 7432,7249 is 1
LCM of denominators i.e. for 512,1664 is 6656.
Thus, GCF of Fractions is 1/6656.Finally, GCF of Fractions for 7432/512, 7249/1664 is 1/6656.