GCF of 3384/637, 6204/6602
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3384/637, 6204/6602 i.e 564/4205474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3384/637, 6204/6602.
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 3384/637,6204/6602?
Given fractions are 3384/637,6204/6602
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 3384/637,6204/6602, numerators are 3384,6204
Denominators are 637,6602
The GCF of 3384,6204 is 564 .
LCM of 637,6602 is 4205474.
The greatest common factor of 3384/637,6204/6602 = [GCF of 3384,6204]/[LCM of 637,6602]= 564/4205474
Therefore, the GCF of 3384/637,6204/6602 is 564/4205474.
To find the highest common factor of 3384,6204, we have to find the factors of both numbers and list the highest common factor.
The factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384
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 HCF of 3384,6204 is 564.
Lets's calculate GCF of 3384,6204
| 2 | 3384, 6204 |
| 2 | 1692, 3102 |
| 3 | 846, 1551 |
| 47 | 282, 517 |
| 6, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 47 = 564
Greatest Common Factor of 3384,6204 By Matching Biggest Common Factor Method
Now, list down the factors of 3384
:1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384
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
Greatest Common Factor
We found the factors 3384,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 3384,6204 is 564.
Lets's calculate LCM of 637,6602
Given numbers has no common factors except 1. So, there LCM is their product i.e 4205474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 564/4205474
Therefore, the GCF of Fractions 3384/637,6204/6602 is 564/4205474
Least Common Multiple of 637,6602 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 637,6602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,6602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,6602) x common factors =1 x 1 = 1
LCM(637,6602) = ( 637 × 6602 ) / 1
LCM(637,6602) = 4205474 / 1
LCM(637,6602) = 4205474
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FAQs on GCF of Fractions of 3384/637, 6204/6602
1. What is the HCF of 3384,6204?
The HCF of 3384,6204 is 564
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 3384/637, 6204/6602?
Answer: GCF of Numerators as per given numbers 3384/637, 6204/6602 is
GCF of Numerators i.e. for 3384,6204 is 564
LCM of denominators i.e. for 637,6602 is 4205474.
Thus, GCF of Fractions is 564/4205474.Finally, GCF of Fractions for 3384/637, 6204/6602 is 564/4205474.