GCF of 1628/596, 6746/577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1628/596, 6746/577 i.e 2/343892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1628/596, 6746/577.
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 1628/596,6746/577?
Given fractions are 1628/596,6746/577
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 1628/596,6746/577, numerators are 1628,6746
Denominators are 596,577
The GCF of 1628,6746 is 2 .
LCM of 596,577 is 343892.
The greatest common factor of 1628/596,6746/577 = [GCF of 1628,6746]/[LCM of 596,577]= 2/343892
Therefore, the GCF of 1628/596,6746/577 is 2/343892.
To find the highest common factor of 1628,6746, we have to find the factors of both numbers and list the highest common factor.
The factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628
The factors of 6746 are 1, 2, 3373, 6746
The HCF of 1628,6746 is 2.
Lets's calculate GCF of 1628,6746
| 2 | 1628, 6746 |
| 814, 3373 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1628,6746 By Matching Biggest Common Factor Method
Now, list down the factors of 1628
:1,2,4,11,22,37,44,74,148,407,814,1628
Now, list down the factors of 6746
:1,2,3373,6746
Greatest Common Factor
We found the factors 1628,6746 . The biggest common factor number is the GCF number.
So the greatest common factor 1628,6746 is 2.
Lets's calculate LCM of 596,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 343892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/343892
Therefore, the GCF of Fractions 1628/596,6746/577 is 2/343892
Least Common Multiple of 596,577 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 596,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,577) x common factors =1 x 1 = 1
LCM(596,577) = ( 596 × 577 ) / 1
LCM(596,577) = 343892 / 1
LCM(596,577) = 343892
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1628/596, 6746/577
1. What is the HCF of 1628,6746?
The HCF of 1628,6746 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 1628/596, 6746/577?
Answer: GCF of Numerators as per given numbers 1628/596, 6746/577 is
GCF of Numerators i.e. for 1628,6746 is 2
LCM of denominators i.e. for 596,577 is 343892.
Thus, GCF of Fractions is 2/343892.Finally, GCF of Fractions for 1628/596, 6746/577 is 2/343892.