GCF of 3231/709, 3066/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3231/709, 3066/674 i.e 3/477866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3231/709, 3066/674.
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 3231/709,3066/674?
Given fractions are 3231/709,3066/674
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 3231/709,3066/674, numerators are 3231,3066
Denominators are 709,674
The GCF of 3231,3066 is 3 .
LCM of 709,674 is 477866.
The greatest common factor of 3231/709,3066/674 = [GCF of 3231,3066]/[LCM of 709,674]= 3/477866
Therefore, the GCF of 3231/709,3066/674 is 3/477866.
To find the highest common factor of 3231,3066, we have to find the factors of both numbers and list the highest common factor.
The factors of 3231 are 1, 3, 9, 359, 1077, 3231
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The HCF of 3231,3066 is 3.
Lets's calculate GCF of 3231,3066
| 3 | 3231, 3066 |
| 1077, 1022 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3231,3066 By Matching Biggest Common Factor Method
Now, list down the factors of 3231
:1,3,9,359,1077,3231
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Greatest Common Factor
We found the factors 3231,3066 . The biggest common factor number is the GCF number.
So the greatest common factor 3231,3066 is 3.
Lets's calculate LCM of 709,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 477866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/477866
Therefore, the GCF of Fractions 3231/709,3066/674 is 3/477866
Least Common Multiple of 709,674 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 709,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,674) x common factors =1 x 1 = 1
LCM(709,674) = ( 709 × 674 ) / 1
LCM(709,674) = 477866 / 1
LCM(709,674) = 477866
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FAQs on GCF of Fractions of 3231/709, 3066/674
1. What is the HCF of 3231,3066?
The HCF of 3231,3066 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 3231/709, 3066/674?
Answer: GCF of Numerators as per given numbers 3231/709, 3066/674 is
GCF of Numerators i.e. for 3231,3066 is 3
LCM of denominators i.e. for 709,674 is 477866.
Thus, GCF of Fractions is 3/477866.Finally, GCF of Fractions for 3231/709, 3066/674 is 3/477866.