GCF of 6549/657, 6630/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6549/657, 6630/896 i.e 3/588672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6549/657, 6630/896.
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 6549/657,6630/896?
Given fractions are 6549/657,6630/896
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 6549/657,6630/896, numerators are 6549,6630
Denominators are 657,896
The GCF of 6549,6630 is 3 .
LCM of 657,896 is 588672.
The greatest common factor of 6549/657,6630/896 = [GCF of 6549,6630]/[LCM of 657,896]= 3/588672
Therefore, the GCF of 6549/657,6630/896 is 3/588672.
To find the highest common factor of 6549,6630, we have to find the factors of both numbers and list the highest common factor.
The factors of 6549 are 1, 3, 37, 59, 111, 177, 2183, 6549
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The HCF of 6549,6630 is 3.
Lets's calculate GCF of 6549,6630
| 3 | 6549, 6630 |
| 2183, 2210 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6549,6630 By Matching Biggest Common Factor Method
Now, list down the factors of 6549
:1,3,37,59,111,177,2183,6549
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Greatest Common Factor
We found the factors 6549,6630 . The biggest common factor number is the GCF number.
So the greatest common factor 6549,6630 is 3.
Lets's calculate LCM of 657,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 588672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/588672
Therefore, the GCF of Fractions 6549/657,6630/896 is 3/588672
Least Common Multiple of 657,896 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 657,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,896) x common factors =1 x 1 = 1
LCM(657,896) = ( 657 × 896 ) / 1
LCM(657,896) = 588672 / 1
LCM(657,896) = 588672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6549/657, 6630/896
1. What is the HCF of 6549,6630?
The HCF of 6549,6630 is 3
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 6549/657, 6630/896?
Answer: GCF of Numerators as per given numbers 6549/657, 6630/896 is
GCF of Numerators i.e. for 6549,6630 is 3
LCM of denominators i.e. for 657,896 is 588672.
Thus, GCF of Fractions is 3/588672.Finally, GCF of Fractions for 6549/657, 6630/896 is 3/588672.