GCF of 6821/964, 1675/6004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6821/964, 1675/6004 i.e 1/1446964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6821/964, 1675/6004.
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 6821/964,1675/6004?
Given fractions are 6821/964,1675/6004
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 6821/964,1675/6004, numerators are 6821,1675
Denominators are 964,6004
The GCF of 6821,1675 is 1 .
LCM of 964,6004 is 1446964.
The greatest common factor of 6821/964,1675/6004 = [GCF of 6821,1675]/[LCM of 964,6004]= 1/1446964
Therefore, the GCF of 6821/964,1675/6004 is 1/1446964.
To find the highest common factor of 6821,1675, we have to find the factors of both numbers and list the highest common factor.
The factors of 6821 are 1, 19, 359, 6821
The factors of 1675 are 1, 5, 25, 67, 335, 1675
The HCF of 6821,1675 is 1.
Lets's calculate GCF of 6821,1675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6821,1675 By Matching Biggest Common Factor Method
Now, list down the factors of 6821
:1,19,359,6821
Now, list down the factors of 1675
:1,5,25,67,335,1675
Greatest Common Factor
We found the factors 6821,1675 . The biggest common factor number is the GCF number.
So the greatest common factor 6821,1675 is 1.
Lets's calculate LCM of 964,6004
| 2 | 964, 6004 |
| 2 | 482, 3002 |
| 241, 1501 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 1501 = 1446964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1446964
Therefore, the GCF of Fractions 6821/964,1675/6004 is 1/1446964
Least Common Multiple of 964,6004 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 964,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,6004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,6004) x common factors =4 x 1 = 4
LCM(964,6004) = ( 964 × 6004 ) / 4
LCM(964,6004) = 5787856 / 4
LCM(964,6004) = 1446964
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6821/964, 1675/6004
1. What is the HCF of 6821,1675?
The HCF of 6821,1675 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 6821/964, 1675/6004?
Answer: GCF of Numerators as per given numbers 6821/964, 1675/6004 is
GCF of Numerators i.e. for 6821,1675 is 1
LCM of denominators i.e. for 964,6004 is 1446964.
Thus, GCF of Fractions is 1/1446964.Finally, GCF of Fractions for 6821/964, 1675/6004 is 1/1446964.