GCF of 5123/420, 6720/2845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5123/420, 6720/2845 i.e 1/238980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5123/420, 6720/2845.
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 5123/420,6720/2845?
Given fractions are 5123/420,6720/2845
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 5123/420,6720/2845, numerators are 5123,6720
Denominators are 420,2845
The GCF of 5123,6720 is 1 .
LCM of 420,2845 is 238980.
The greatest common factor of 5123/420,6720/2845 = [GCF of 5123,6720]/[LCM of 420,2845]= 1/238980
Therefore, the GCF of 5123/420,6720/2845 is 1/238980.
To find the highest common factor of 5123,6720, we have to find the factors of both numbers and list the highest common factor.
The factors of 5123 are 1, 47, 109, 5123
The factors of 6720 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 192, 210, 224, 240, 280, 320, 336, 420, 448, 480, 560, 672, 840, 960, 1120, 1344, 1680, 2240, 3360, 6720
The HCF of 5123,6720 is 1.
Lets's calculate GCF of 5123,6720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5123,6720 By Matching Biggest Common Factor Method
Now, list down the factors of 5123
:1,47,109,5123
Now, list down the factors of 6720
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 5123,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 5123,6720 is 1.
Lets's calculate LCM of 420,2845
| 5 | 420, 2845 |
| 84, 569 |
∴ So the LCM of the given numbers is 5 x 84 x 569 = 238980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238980
Therefore, the GCF of Fractions 5123/420,6720/2845 is 1/238980
Least Common Multiple of 420,2845 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 420,2845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,2845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(420,2845) x common factors =5 x 1 = 5
LCM(420,2845) = ( 420 × 2845 ) / 5
LCM(420,2845) = 1194900 / 5
LCM(420,2845) = 238980
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FAQs on GCF of Fractions of 5123/420, 6720/2845
1. What is the HCF of 5123,6720?
The HCF of 5123,6720 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 5123/420, 6720/2845?
Answer: GCF of Numerators as per given numbers 5123/420, 6720/2845 is
GCF of Numerators i.e. for 5123,6720 is 1
LCM of denominators i.e. for 420,2845 is 238980.
Thus, GCF of Fractions is 1/238980.Finally, GCF of Fractions for 5123/420, 6720/2845 is 1/238980.