GCF of 3468/390, 4182/6320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3468/390, 4182/6320 i.e 102/246480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3468/390, 4182/6320.
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 3468/390,4182/6320?
Given fractions are 3468/390,4182/6320
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 3468/390,4182/6320, numerators are 3468,4182
Denominators are 390,6320
The GCF of 3468,4182 is 102 .
LCM of 390,6320 is 246480.
The greatest common factor of 3468/390,4182/6320 = [GCF of 3468,4182]/[LCM of 390,6320]= 102/246480
Therefore, the GCF of 3468/390,4182/6320 is 102/246480.
To find the highest common factor of 3468,4182, we have to find the factors of both numbers and list the highest common factor.
The factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468
The factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182
The HCF of 3468,4182 is 102.
Lets's calculate GCF of 3468,4182
| 2 | 3468, 4182 |
| 3 | 1734, 2091 |
| 17 | 578, 697 |
| 34, 41 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Greatest Common Factor of 3468,4182 By Matching Biggest Common Factor Method
Now, list down the factors of 3468
:1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Now, list down the factors of 4182
:1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Greatest Common Factor
We found the factors 3468,4182 . The biggest common factor number is the GCF number.
So the greatest common factor 3468,4182 is 102.
Lets's calculate LCM of 390,6320
| 2 | 390, 6320 |
| 5 | 195, 3160 |
| 39, 632 |
∴ So the LCM of the given numbers is 2 x 5 x 39 x 632 = 246480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/246480
Therefore, the GCF of Fractions 3468/390,4182/6320 is 102/246480
Least Common Multiple of 390,6320 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 390,6320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,6320) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(390,6320) x common factors =10 x 1 = 10
LCM(390,6320) = ( 390 × 6320 ) / 10
LCM(390,6320) = 2464800 / 10
LCM(390,6320) = 246480
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FAQs on GCF of Fractions of 3468/390, 4182/6320
1. What is the HCF of 3468,4182?
The HCF of 3468,4182 is 102
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 3468/390, 4182/6320?
Answer: GCF of Numerators as per given numbers 3468/390, 4182/6320 is
GCF of Numerators i.e. for 3468,4182 is 102
LCM of denominators i.e. for 390,6320 is 246480.
Thus, GCF of Fractions is 102/246480.Finally, GCF of Fractions for 3468/390, 4182/6320 is 102/246480.