GCF of 4506/728, 3284/1688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4506/728, 3284/1688 i.e 2/153608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4506/728, 3284/1688.
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 4506/728,3284/1688?
Given fractions are 4506/728,3284/1688
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 4506/728,3284/1688, numerators are 4506,3284
Denominators are 728,1688
The GCF of 4506,3284 is 2 .
LCM of 728,1688 is 153608.
The greatest common factor of 4506/728,3284/1688 = [GCF of 4506,3284]/[LCM of 728,1688]= 2/153608
Therefore, the GCF of 4506/728,3284/1688 is 2/153608.
To find the highest common factor of 4506,3284, we have to find the factors of both numbers and list the highest common factor.
The factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506
The factors of 3284 are 1, 2, 4, 821, 1642, 3284
The HCF of 4506,3284 is 2.
Lets's calculate GCF of 4506,3284
| 2 | 4506, 3284 |
| 2253, 1642 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4506,3284 By Matching Biggest Common Factor Method
Now, list down the factors of 4506
:1,2,3,6,751,1502,2253,4506
Now, list down the factors of 3284
:1,2,4,821,1642,3284
Greatest Common Factor
We found the factors 4506,3284 . The biggest common factor number is the GCF number.
So the greatest common factor 4506,3284 is 2.
Lets's calculate LCM of 728,1688
| 2 | 728, 1688 |
| 2 | 364, 844 |
| 2 | 182, 422 |
| 91, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 91 x 211 = 153608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153608
Therefore, the GCF of Fractions 4506/728,3284/1688 is 2/153608
Least Common Multiple of 728,1688 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 728,1688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,1688) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(728,1688) x common factors =8 x 1 = 8
LCM(728,1688) = ( 728 × 1688 ) / 8
LCM(728,1688) = 1228864 / 8
LCM(728,1688) = 153608
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FAQs on GCF of Fractions of 4506/728, 3284/1688
1. What is the HCF of 4506,3284?
The HCF of 4506,3284 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 4506/728, 3284/1688?
Answer: GCF of Numerators as per given numbers 4506/728, 3284/1688 is
GCF of Numerators i.e. for 4506,3284 is 2
LCM of denominators i.e. for 728,1688 is 153608.
Thus, GCF of Fractions is 2/153608.Finally, GCF of Fractions for 4506/728, 3284/1688 is 2/153608.