GCF of 4008/421, 4680/4782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4008/421, 4680/4782 i.e 24/2013222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4008/421, 4680/4782.
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 4008/421,4680/4782?
Given fractions are 4008/421,4680/4782
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 4008/421,4680/4782, numerators are 4008,4680
Denominators are 421,4782
The GCF of 4008,4680 is 24 .
LCM of 421,4782 is 2013222.
The greatest common factor of 4008/421,4680/4782 = [GCF of 4008,4680]/[LCM of 421,4782]= 24/2013222
Therefore, the GCF of 4008/421,4680/4782 is 24/2013222.
To find the highest common factor of 4008,4680, we have to find the factors of both numbers and list the highest common factor.
The factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008
The factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680
The HCF of 4008,4680 is 24.
Lets's calculate GCF of 4008,4680
| 2 | 4008, 4680 |
| 2 | 2004, 2340 |
| 2 | 1002, 1170 |
| 3 | 501, 585 |
| 167, 195 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 4008,4680 By Matching Biggest Common Factor Method
Now, list down the factors of 4008
:1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008
Now, list down the factors of 4680
:1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680
Greatest Common Factor
We found the factors 4008,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 4008,4680 is 24.
Lets's calculate LCM of 421,4782
Given numbers has no common factors except 1. So, there LCM is their product i.e 2013222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2013222
Therefore, the GCF of Fractions 4008/421,4680/4782 is 24/2013222
Least Common Multiple of 421,4782 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 421,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,4782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,4782) x common factors =1 x 1 = 1
LCM(421,4782) = ( 421 × 4782 ) / 1
LCM(421,4782) = 2013222 / 1
LCM(421,4782) = 2013222
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FAQs on GCF of Fractions of 4008/421, 4680/4782
1. What is the HCF of 4008,4680?
The HCF of 4008,4680 is 24
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 4008/421, 4680/4782?
Answer: GCF of Numerators as per given numbers 4008/421, 4680/4782 is
GCF of Numerators i.e. for 4008,4680 is 24
LCM of denominators i.e. for 421,4782 is 2013222.
Thus, GCF of Fractions is 24/2013222.Finally, GCF of Fractions for 4008/421, 4680/4782 is 24/2013222.