GCF of 558/67, 309/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 558/67, 309/674 i.e 3/45158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 558/67, 309/674.
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 558/67,309/674?
Given fractions are 558/67,309/674
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 558/67,309/674, numerators are 558,309
Denominators are 67,674
The GCF of 558,309 is 3 .
LCM of 67,674 is 45158.
The greatest common factor of 558/67,309/674 = [GCF of 558,309]/[LCM of 67,674]= 3/45158
Therefore, the GCF of 558/67,309/674 is 3/45158.
To find the highest common factor of 558,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
The factors of 309 are 1, 3, 103, 309
The HCF of 558,309 is 3.
Lets's calculate GCF of 558,309
| 3 | 558, 309 |
| 186, 103 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 558,309 By Matching Biggest Common Factor Method
Now, list down the factors of 558
:1,2,3,6,9,18,31,62,93,186,279,558
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 558,309 . The biggest common factor number is the GCF number.
So the greatest common factor 558,309 is 3.
Lets's calculate LCM of 67,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 45158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45158
Therefore, the GCF of Fractions 558/67,309/674 is 3/45158
Least Common Multiple of 67,674 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 67,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,674) x common factors =1 x 1 = 1
LCM(67,674) = ( 67 × 674 ) / 1
LCM(67,674) = 45158 / 1
LCM(67,674) = 45158
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FAQs on GCF of Fractions of 558/67, 309/674
1. What is the HCF of 558,309?
The HCF of 558,309 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 558/67, 309/674?
Answer: GCF of Numerators as per given numbers 558/67, 309/674 is
GCF of Numerators i.e. for 558,309 is 3
LCM of denominators i.e. for 67,674 is 45158.
Thus, GCF of Fractions is 3/45158.Finally, GCF of Fractions for 558/67, 309/674 is 3/45158.