GCF of 6204/416, 2478/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6204/416, 2478/642 i.e 6/133536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6204/416, 2478/642.
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 6204/416,2478/642?
Given fractions are 6204/416,2478/642
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 6204/416,2478/642, numerators are 6204,2478
Denominators are 416,642
The GCF of 6204,2478 is 6 .
LCM of 416,642 is 133536.
The greatest common factor of 6204/416,2478/642 = [GCF of 6204,2478]/[LCM of 416,642]= 6/133536
Therefore, the GCF of 6204/416,2478/642 is 6/133536.
To find the highest common factor of 6204,2478, we have to find the factors of both numbers and list the highest common factor.
The factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478
The HCF of 6204,2478 is 6.
Lets's calculate GCF of 6204,2478
| 2 | 6204, 2478 |
| 3 | 3102, 1239 |
| 1034, 413 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6204,2478 By Matching Biggest Common Factor Method
Now, list down the factors of 6204
:1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Now, list down the factors of 2478
:1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478
Greatest Common Factor
We found the factors 6204,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 6204,2478 is 6.
Lets's calculate LCM of 416,642
| 2 | 416, 642 |
| 208, 321 |
∴ So the LCM of the given numbers is 2 x 208 x 321 = 133536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/133536
Therefore, the GCF of Fractions 6204/416,2478/642 is 6/133536
Least Common Multiple of 416,642 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 416,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,642) x common factors =2 x 1 = 2
LCM(416,642) = ( 416 × 642 ) / 2
LCM(416,642) = 267072 / 2
LCM(416,642) = 133536
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FAQs on GCF of Fractions of 6204/416, 2478/642
1. What is the HCF of 6204,2478?
The HCF of 6204,2478 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 6204/416, 2478/642?
Answer: GCF of Numerators as per given numbers 6204/416, 2478/642 is
GCF of Numerators i.e. for 6204,2478 is 6
LCM of denominators i.e. for 416,642 is 133536.
Thus, GCF of Fractions is 6/133536.Finally, GCF of Fractions for 6204/416, 2478/642 is 6/133536.