GCF of 8704/568, 4080/6350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8704/568, 4080/6350 i.e 272/1803400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8704/568, 4080/6350.
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 8704/568,4080/6350?
Given fractions are 8704/568,4080/6350
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 8704/568,4080/6350, numerators are 8704,4080
Denominators are 568,6350
The GCF of 8704,4080 is 272 .
LCM of 568,6350 is 1803400.
The greatest common factor of 8704/568,4080/6350 = [GCF of 8704,4080]/[LCM of 568,6350]= 272/1803400
Therefore, the GCF of 8704/568,4080/6350 is 272/1803400.
To find the highest common factor of 8704,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 8704,4080 is 272.
Lets's calculate GCF of 8704,4080
| 2 | 8704, 4080 |
| 2 | 4352, 2040 |
| 2 | 2176, 1020 |
| 2 | 1088, 510 |
| 17 | 544, 255 |
| 32, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 17 = 272
Greatest Common Factor of 8704,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 8704
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 8704,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 8704,4080 is 272.
Lets's calculate LCM of 568,6350
| 2 | 568, 6350 |
| 284, 3175 |
∴ So the LCM of the given numbers is 2 x 284 x 3175 = 1803400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 272/1803400
Therefore, the GCF of Fractions 8704/568,4080/6350 is 272/1803400
Least Common Multiple of 568,6350 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 568,6350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,6350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(568,6350) x common factors =2 x 1 = 2
LCM(568,6350) = ( 568 × 6350 ) / 2
LCM(568,6350) = 3606800 / 2
LCM(568,6350) = 1803400
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FAQs on GCF of Fractions of 8704/568, 4080/6350
1. What is the HCF of 8704,4080?
The HCF of 8704,4080 is 272
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 8704/568, 4080/6350?
Answer: GCF of Numerators as per given numbers 8704/568, 4080/6350 is
GCF of Numerators i.e. for 8704,4080 is 272
LCM of denominators i.e. for 568,6350 is 1803400.
Thus, GCF of Fractions is 272/1803400.Finally, GCF of Fractions for 8704/568, 4080/6350 is 272/1803400.