GCF of 2008/832, 3454/732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2008/832, 3454/732 i.e 2/152256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2008/832, 3454/732.
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 2008/832,3454/732?
Given fractions are 2008/832,3454/732
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 2008/832,3454/732, numerators are 2008,3454
Denominators are 832,732
The GCF of 2008,3454 is 2 .
LCM of 832,732 is 152256.
The greatest common factor of 2008/832,3454/732 = [GCF of 2008,3454]/[LCM of 832,732]= 2/152256
Therefore, the GCF of 2008/832,3454/732 is 2/152256.
To find the highest common factor of 2008,3454, we have to find the factors of both numbers and list the highest common factor.
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454
The HCF of 2008,3454 is 2.
Lets's calculate GCF of 2008,3454
| 2 | 2008, 3454 |
| 1004, 1727 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2008,3454 By Matching Biggest Common Factor Method
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Now, list down the factors of 3454
:1,2,11,22,157,314,1727,3454
Greatest Common Factor
We found the factors 2008,3454 . The biggest common factor number is the GCF number.
So the greatest common factor 2008,3454 is 2.
Lets's calculate LCM of 832,732
| 2 | 832, 732 |
| 2 | 416, 366 |
| 208, 183 |
∴ So the LCM of the given numbers is 2 x 2 x 208 x 183 = 152256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152256
Therefore, the GCF of Fractions 2008/832,3454/732 is 2/152256
Least Common Multiple of 832,732 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 832,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(832,732) x common factors =4 x 1 = 4
LCM(832,732) = ( 832 × 732 ) / 4
LCM(832,732) = 609024 / 4
LCM(832,732) = 152256
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2008/832, 3454/732
1. What is the HCF of 2008,3454?
The HCF of 2008,3454 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 2008/832, 3454/732?
Answer: GCF of Numerators as per given numbers 2008/832, 3454/732 is
GCF of Numerators i.e. for 2008,3454 is 2
LCM of denominators i.e. for 832,732 is 152256.
Thus, GCF of Fractions is 2/152256.Finally, GCF of Fractions for 2008/832, 3454/732 is 2/152256.