GCF of 7302/172, 6210/3042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7302/172, 6210/3042 i.e 6/261612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7302/172, 6210/3042.
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 7302/172,6210/3042?
Given fractions are 7302/172,6210/3042
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 7302/172,6210/3042, numerators are 7302,6210
Denominators are 172,3042
The GCF of 7302,6210 is 6 .
LCM of 172,3042 is 261612.
The greatest common factor of 7302/172,6210/3042 = [GCF of 7302,6210]/[LCM of 172,3042]= 6/261612
Therefore, the GCF of 7302/172,6210/3042 is 6/261612.
To find the highest common factor of 7302,6210, we have to find the factors of both numbers and list the highest common factor.
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The factors of 6210 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 90, 115, 135, 138, 207, 230, 270, 345, 414, 621, 690, 1035, 1242, 2070, 3105, 6210
The HCF of 7302,6210 is 6.
Lets's calculate GCF of 7302,6210
| 2 | 7302, 6210 |
| 3 | 3651, 3105 |
| 1217, 1035 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7302,6210 By Matching Biggest Common Factor Method
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Now, list down the factors of 6210
:1,2,3,5,6,9,10,15,18,23,27,30,45,46,54,69,90,115,135,138,207,230,270,345,414,621,690,1035,1242,2070,3105,6210
Greatest Common Factor
We found the factors 7302,6210 . The biggest common factor number is the GCF number.
So the greatest common factor 7302,6210 is 6.
Lets's calculate LCM of 172,3042
| 2 | 172, 3042 |
| 86, 1521 |
∴ So the LCM of the given numbers is 2 x 86 x 1521 = 261612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/261612
Therefore, the GCF of Fractions 7302/172,6210/3042 is 6/261612
Least Common Multiple of 172,3042 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 172,3042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,3042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,3042) x common factors =2 x 1 = 2
LCM(172,3042) = ( 172 × 3042 ) / 2
LCM(172,3042) = 523224 / 2
LCM(172,3042) = 261612
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FAQs on GCF of Fractions of 7302/172, 6210/3042
1. What is the HCF of 7302,6210?
The HCF of 7302,6210 is 6
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 7302/172, 6210/3042?
Answer: GCF of Numerators as per given numbers 7302/172, 6210/3042 is
GCF of Numerators i.e. for 7302,6210 is 6
LCM of denominators i.e. for 172,3042 is 261612.
Thus, GCF of Fractions is 6/261612.Finally, GCF of Fractions for 7302/172, 6210/3042 is 6/261612.