GCF of 321/53, 612/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 321/53, 612/606 i.e 3/32118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 321/53, 612/606.
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 321/53,612/606?
Given fractions are 321/53,612/606
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 321/53,612/606, numerators are 321,612
Denominators are 53,606
The GCF of 321,612 is 3 .
LCM of 53,606 is 32118.
The greatest common factor of 321/53,612/606 = [GCF of 321,612]/[LCM of 53,606]= 3/32118
Therefore, the GCF of 321/53,612/606 is 3/32118.
To find the highest common factor of 321,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 321 are 1, 3, 107, 321
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 321,612 is 3.
Lets's calculate GCF of 321,612
| 3 | 321, 612 |
| 107, 204 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 321,612 By Matching Biggest Common Factor Method
Now, list down the factors of 321
:1,3,107,321
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 321,612 . The biggest common factor number is the GCF number.
So the greatest common factor 321,612 is 3.
Lets's calculate LCM of 53,606
Given numbers has no common factors except 1. So, there LCM is their product i.e 32118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32118
Therefore, the GCF of Fractions 321/53,612/606 is 3/32118
Least Common Multiple of 53,606 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 53,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,606) x common factors =1 x 1 = 1
LCM(53,606) = ( 53 × 606 ) / 1
LCM(53,606) = 32118 / 1
LCM(53,606) = 32118
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FAQs on GCF of Fractions of 321/53, 612/606
1. What is the HCF of 321,612?
The HCF of 321,612 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 321/53, 612/606?
Answer: GCF of Numerators as per given numbers 321/53, 612/606 is
GCF of Numerators i.e. for 321,612 is 3
LCM of denominators i.e. for 53,606 is 32118.
Thus, GCF of Fractions is 3/32118.Finally, GCF of Fractions for 321/53, 612/606 is 3/32118.