GCF of 2853/640, 9204/3616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2853/640, 9204/3616 i.e 3/72320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2853/640, 9204/3616.
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 2853/640,9204/3616?
Given fractions are 2853/640,9204/3616
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 2853/640,9204/3616, numerators are 2853,9204
Denominators are 640,3616
The GCF of 2853,9204 is 3 .
LCM of 640,3616 is 72320.
The greatest common factor of 2853/640,9204/3616 = [GCF of 2853,9204]/[LCM of 640,3616]= 3/72320
Therefore, the GCF of 2853/640,9204/3616 is 3/72320.
To find the highest common factor of 2853,9204, we have to find the factors of both numbers and list the highest common factor.
The factors of 2853 are 1, 3, 9, 317, 951, 2853
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The HCF of 2853,9204 is 3.
Lets's calculate GCF of 2853,9204
| 3 | 2853, 9204 |
| 951, 3068 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2853,9204 By Matching Biggest Common Factor Method
Now, list down the factors of 2853
:1,3,9,317,951,2853
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 2853,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 2853,9204 is 3.
Lets's calculate LCM of 640,3616
| 2 | 640, 3616 |
| 2 | 320, 1808 |
| 2 | 160, 904 |
| 2 | 80, 452 |
| 2 | 40, 226 |
| 20, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 20 x 113 = 72320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72320
Therefore, the GCF of Fractions 2853/640,9204/3616 is 3/72320
Least Common Multiple of 640,3616 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 640,3616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,3616) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(640,3616) x common factors =32 x 1 = 32
LCM(640,3616) = ( 640 × 3616 ) / 32
LCM(640,3616) = 2314240 / 32
LCM(640,3616) = 72320
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FAQs on GCF of Fractions of 2853/640, 9204/3616
1. What is the HCF of 2853,9204?
The HCF of 2853,9204 is 3
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 2853/640, 9204/3616?
Answer: GCF of Numerators as per given numbers 2853/640, 9204/3616 is
GCF of Numerators i.e. for 2853,9204 is 3
LCM of denominators i.e. for 640,3616 is 72320.
Thus, GCF of Fractions is 3/72320.Finally, GCF of Fractions for 2853/640, 9204/3616 is 3/72320.