GCF of 8708/290, 8512/4404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8708/290, 8512/4404 i.e 28/638580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8708/290, 8512/4404.
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 8708/290,8512/4404?
Given fractions are 8708/290,8512/4404
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 8708/290,8512/4404, numerators are 8708,8512
Denominators are 290,4404
The GCF of 8708,8512 is 28 .
LCM of 290,4404 is 638580.
The greatest common factor of 8708/290,8512/4404 = [GCF of 8708,8512]/[LCM of 290,4404]= 28/638580
Therefore, the GCF of 8708/290,8512/4404 is 28/638580.
To find the highest common factor of 8708,8512, we have to find the factors of both numbers and list the highest common factor.
The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708
The factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512
The HCF of 8708,8512 is 28.
Lets's calculate GCF of 8708,8512
| 2 | 8708, 8512 |
| 2 | 4354, 4256 |
| 7 | 2177, 2128 |
| 311, 304 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 8708,8512 By Matching Biggest Common Factor Method
Now, list down the factors of 8708
:1,2,4,7,14,28,311,622,1244,2177,4354,8708
Now, list down the factors of 8512
:1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Greatest Common Factor
We found the factors 8708,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 8708,8512 is 28.
Lets's calculate LCM of 290,4404
| 2 | 290, 4404 |
| 145, 2202 |
∴ So the LCM of the given numbers is 2 x 145 x 2202 = 638580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/638580
Therefore, the GCF of Fractions 8708/290,8512/4404 is 28/638580
Least Common Multiple of 290,4404 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 290,4404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,4404) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,4404) x common factors =2 x 1 = 2
LCM(290,4404) = ( 290 × 4404 ) / 2
LCM(290,4404) = 1277160 / 2
LCM(290,4404) = 638580
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FAQs on GCF of Fractions of 8708/290, 8512/4404
1. What is the HCF of 8708,8512?
The HCF of 8708,8512 is 28
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 8708/290, 8512/4404?
Answer: GCF of Numerators as per given numbers 8708/290, 8512/4404 is
GCF of Numerators i.e. for 8708,8512 is 28
LCM of denominators i.e. for 290,4404 is 638580.
Thus, GCF of Fractions is 28/638580.Finally, GCF of Fractions for 8708/290, 8512/4404 is 28/638580.