GCF of 4223/138, 3624/1880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4223/138, 3624/1880 i.e 1/129720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4223/138, 3624/1880.
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 4223/138,3624/1880?
Given fractions are 4223/138,3624/1880
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 4223/138,3624/1880, numerators are 4223,3624
Denominators are 138,1880
The GCF of 4223,3624 is 1 .
LCM of 138,1880 is 129720.
The greatest common factor of 4223/138,3624/1880 = [GCF of 4223,3624]/[LCM of 138,1880]= 1/129720
Therefore, the GCF of 4223/138,3624/1880 is 1/129720.
To find the highest common factor of 4223,3624, we have to find the factors of both numbers and list the highest common factor.
The factors of 4223 are 1, 41, 103, 4223
The factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624
The HCF of 4223,3624 is 1.
Lets's calculate GCF of 4223,3624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4223,3624 By Matching Biggest Common Factor Method
Now, list down the factors of 4223
:1,41,103,4223
Now, list down the factors of 3624
:1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624
Greatest Common Factor
We found the factors 4223,3624 . The biggest common factor number is the GCF number.
So the greatest common factor 4223,3624 is 1.
Lets's calculate LCM of 138,1880
| 2 | 138, 1880 |
| 69, 940 |
∴ So the LCM of the given numbers is 2 x 69 x 940 = 129720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129720
Therefore, the GCF of Fractions 4223/138,3624/1880 is 1/129720
Least Common Multiple of 138,1880 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 138,1880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,1880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,1880) x common factors =2 x 1 = 2
LCM(138,1880) = ( 138 × 1880 ) / 2
LCM(138,1880) = 259440 / 2
LCM(138,1880) = 129720
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FAQs on GCF of Fractions of 4223/138, 3624/1880
1. What is the HCF of 4223,3624?
The HCF of 4223,3624 is 1
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 4223/138, 3624/1880?
Answer: GCF of Numerators as per given numbers 4223/138, 3624/1880 is
GCF of Numerators i.e. for 4223,3624 is 1
LCM of denominators i.e. for 138,1880 is 129720.
Thus, GCF of Fractions is 1/129720.Finally, GCF of Fractions for 4223/138, 3624/1880 is 1/129720.