GCF of 4480/294, 5992/6053
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4480/294, 5992/6053 i.e 56/1779582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4480/294, 5992/6053.
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 4480/294,5992/6053?
Given fractions are 4480/294,5992/6053
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 4480/294,5992/6053, numerators are 4480,5992
Denominators are 294,6053
The GCF of 4480,5992 is 56 .
LCM of 294,6053 is 1779582.
The greatest common factor of 4480/294,5992/6053 = [GCF of 4480,5992]/[LCM of 294,6053]= 56/1779582
Therefore, the GCF of 4480/294,5992/6053 is 56/1779582.
To find the highest common factor of 4480,5992, we have to find the factors of both numbers and list the highest common factor.
The factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The HCF of 4480,5992 is 56.
Lets's calculate GCF of 4480,5992
| 2 | 4480, 5992 |
| 2 | 2240, 2996 |
| 2 | 1120, 1498 |
| 7 | 560, 749 |
| 80, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 4480,5992 By Matching Biggest Common Factor Method
Now, list down the factors of 4480
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Greatest Common Factor
We found the factors 4480,5992 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,5992 is 56.
Lets's calculate LCM of 294,6053
Given numbers has no common factors except 1. So, there LCM is their product i.e 1779582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/1779582
Therefore, the GCF of Fractions 4480/294,5992/6053 is 56/1779582
Least Common Multiple of 294,6053 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 294,6053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,6053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(294,6053) x common factors =1 x 1 = 1
LCM(294,6053) = ( 294 × 6053 ) / 1
LCM(294,6053) = 1779582 / 1
LCM(294,6053) = 1779582
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FAQs on GCF of Fractions of 4480/294, 5992/6053
1. What is the HCF of 4480,5992?
The HCF of 4480,5992 is 56
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 4480/294, 5992/6053?
Answer: GCF of Numerators as per given numbers 4480/294, 5992/6053 is
GCF of Numerators i.e. for 4480,5992 is 56
LCM of denominators i.e. for 294,6053 is 1779582.
Thus, GCF of Fractions is 56/1779582.Finally, GCF of Fractions for 4480/294, 5992/6053 is 56/1779582.