GCF of 8032/672, 6034/1335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8032/672, 6034/1335 i.e 2/299040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8032/672, 6034/1335.
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 8032/672,6034/1335?
Given fractions are 8032/672,6034/1335
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 8032/672,6034/1335, numerators are 8032,6034
Denominators are 672,1335
The GCF of 8032,6034 is 2 .
LCM of 672,1335 is 299040.
The greatest common factor of 8032/672,6034/1335 = [GCF of 8032,6034]/[LCM of 672,1335]= 2/299040
Therefore, the GCF of 8032/672,6034/1335 is 2/299040.
To find the highest common factor of 8032,6034, we have to find the factors of both numbers and list the highest common factor.
The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032
The factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034
The HCF of 8032,6034 is 2.
Lets's calculate GCF of 8032,6034
| 2 | 8032, 6034 |
| 4016, 3017 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8032,6034 By Matching Biggest Common Factor Method
Now, list down the factors of 8032
:1,2,4,8,16,32,251,502,1004,2008,4016,8032
Now, list down the factors of 6034
:1,2,7,14,431,862,3017,6034
Greatest Common Factor
We found the factors 8032,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 8032,6034 is 2.
Lets's calculate LCM of 672,1335
| 3 | 672, 1335 |
| 224, 445 |
∴ So the LCM of the given numbers is 3 x 224 x 445 = 299040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299040
Therefore, the GCF of Fractions 8032/672,6034/1335 is 2/299040
Least Common Multiple of 672,1335 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 672,1335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,1335) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(672,1335) x common factors =3 x 1 = 3
LCM(672,1335) = ( 672 × 1335 ) / 3
LCM(672,1335) = 897120 / 3
LCM(672,1335) = 299040
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FAQs on GCF of Fractions of 8032/672, 6034/1335
1. What is the HCF of 8032,6034?
The HCF of 8032,6034 is 2
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 8032/672, 6034/1335?
Answer: GCF of Numerators as per given numbers 8032/672, 6034/1335 is
GCF of Numerators i.e. for 8032,6034 is 2
LCM of denominators i.e. for 672,1335 is 299040.
Thus, GCF of Fractions is 2/299040.Finally, GCF of Fractions for 8032/672, 6034/1335 is 2/299040.