GCF of 3180/178, 6285/332
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3180/178, 6285/332 i.e 15/29548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3180/178, 6285/332.
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 3180/178,6285/332?
Given fractions are 3180/178,6285/332
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 3180/178,6285/332, numerators are 3180,6285
Denominators are 178,332
The GCF of 3180,6285 is 15 .
LCM of 178,332 is 29548.
The greatest common factor of 3180/178,6285/332 = [GCF of 3180,6285]/[LCM of 178,332]= 15/29548
Therefore, the GCF of 3180/178,6285/332 is 15/29548.
To find the highest common factor of 3180,6285, we have to find the factors of both numbers and list the highest common factor.
The factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180
The factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285
The HCF of 3180,6285 is 15.
Lets's calculate GCF of 3180,6285
| 3 | 3180, 6285 |
| 5 | 1060, 2095 |
| 212, 419 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3180,6285 By Matching Biggest Common Factor Method
Now, list down the factors of 3180
:1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180
Now, list down the factors of 6285
:1,3,5,15,419,1257,2095,6285
Greatest Common Factor
We found the factors 3180,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 3180,6285 is 15.
Lets's calculate LCM of 178,332
| 2 | 178, 332 |
| 89, 166 |
∴ So the LCM of the given numbers is 2 x 89 x 166 = 29548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/29548
Therefore, the GCF of Fractions 3180/178,6285/332 is 15/29548
Least Common Multiple of 178,332 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 178,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,332) x common factors =2 x 1 = 2
LCM(178,332) = ( 178 × 332 ) / 2
LCM(178,332) = 59096 / 2
LCM(178,332) = 29548
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FAQs on GCF of Fractions of 3180/178, 6285/332
1. What is the HCF of 3180,6285?
The HCF of 3180,6285 is 15
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 3180/178, 6285/332?
Answer: GCF of Numerators as per given numbers 3180/178, 6285/332 is
GCF of Numerators i.e. for 3180,6285 is 15
LCM of denominators i.e. for 178,332 is 29548.
Thus, GCF of Fractions is 15/29548.Finally, GCF of Fractions for 3180/178, 6285/332 is 15/29548.