GCF of 669/706, 6467/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 669/706, 6467/809 i.e 223/571154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 669/706, 6467/809.
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 669/706,6467/809?
Given fractions are 669/706,6467/809
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 669/706,6467/809, numerators are 669,6467
Denominators are 706,809
The GCF of 669,6467 is 223 .
LCM of 706,809 is 571154.
The greatest common factor of 669/706,6467/809 = [GCF of 669,6467]/[LCM of 706,809]= 223/571154
Therefore, the GCF of 669/706,6467/809 is 223/571154.
To find the highest common factor of 669,6467, we have to find the factors of both numbers and list the highest common factor.
The factors of 669 are 1, 3, 223, 669
The factors of 6467 are 1, 29, 223, 6467
The HCF of 669,6467 is 223.
Lets's calculate GCF of 669,6467
| 223 | 669, 6467 |
| 3, 29 |
∴ So the GCF of the given numbers is 223 = 223
Greatest Common Factor of 669,6467 By Matching Biggest Common Factor Method
Now, list down the factors of 669
:1,3,223,669
Now, list down the factors of 6467
:1,29,223,6467
Greatest Common Factor
We found the factors 669,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 669,6467 is 223.
Lets's calculate LCM of 706,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 571154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 223/571154
Therefore, the GCF of Fractions 669/706,6467/809 is 223/571154
Least Common Multiple of 706,809 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 706,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(706,809) x common factors =1 x 1 = 1
LCM(706,809) = ( 706 × 809 ) / 1
LCM(706,809) = 571154 / 1
LCM(706,809) = 571154
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FAQs on GCF of Fractions of 669/706, 6467/809
1. What is the HCF of 669,6467?
The HCF of 669,6467 is 223
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 669/706, 6467/809?
Answer: GCF of Numerators as per given numbers 669/706, 6467/809 is
GCF of Numerators i.e. for 669,6467 is 223
LCM of denominators i.e. for 706,809 is 571154.
Thus, GCF of Fractions is 223/571154.Finally, GCF of Fractions for 669/706, 6467/809 is 223/571154.