GCF of 2080/429, 4014/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2080/429, 4014/448 i.e 2/192192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2080/429, 4014/448.
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 2080/429,4014/448?
Given fractions are 2080/429,4014/448
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 2080/429,4014/448, numerators are 2080,4014
Denominators are 429,448
The GCF of 2080,4014 is 2 .
LCM of 429,448 is 192192.
The greatest common factor of 2080/429,4014/448 = [GCF of 2080,4014]/[LCM of 429,448]= 2/192192
Therefore, the GCF of 2080/429,4014/448 is 2/192192.
To find the highest common factor of 2080,4014, we have to find the factors of both numbers and list the highest common factor.
The factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080
The factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014
The HCF of 2080,4014 is 2.
Lets's calculate GCF of 2080,4014
| 2 | 2080, 4014 |
| 1040, 2007 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2080,4014 By Matching Biggest Common Factor Method
Now, list down the factors of 2080
:1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Now, list down the factors of 4014
:1,2,3,6,9,18,223,446,669,1338,2007,4014
Greatest Common Factor
We found the factors 2080,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 2080,4014 is 2.
Lets's calculate LCM of 429,448
Given numbers has no common factors except 1. So, there LCM is their product i.e 192192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192192
Therefore, the GCF of Fractions 2080/429,4014/448 is 2/192192
Least Common Multiple of 429,448 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 429,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,448) x common factors =1 x 1 = 1
LCM(429,448) = ( 429 × 448 ) / 1
LCM(429,448) = 192192 / 1
LCM(429,448) = 192192
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FAQs on GCF of Fractions of 2080/429, 4014/448
1. What is the HCF of 2080,4014?
The HCF of 2080,4014 is 2
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 2080/429, 4014/448?
Answer: GCF of Numerators as per given numbers 2080/429, 4014/448 is
GCF of Numerators i.e. for 2080,4014 is 2
LCM of denominators i.e. for 429,448 is 192192.
Thus, GCF of Fractions is 2/192192.Finally, GCF of Fractions for 2080/429, 4014/448 is 2/192192.