GCF of 4728/754, 5800/8812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4728/754, 5800/8812 i.e 8/3322124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4728/754, 5800/8812.
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 4728/754,5800/8812?
Given fractions are 4728/754,5800/8812
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 4728/754,5800/8812, numerators are 4728,5800
Denominators are 754,8812
The GCF of 4728,5800 is 8 .
LCM of 754,8812 is 3322124.
The greatest common factor of 4728/754,5800/8812 = [GCF of 4728,5800]/[LCM of 754,8812]= 8/3322124
Therefore, the GCF of 4728/754,5800/8812 is 8/3322124.
To find the highest common factor of 4728,5800, we have to find the factors of both numbers and list the highest common factor.
The factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728
The factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800
The HCF of 4728,5800 is 8.
Lets's calculate GCF of 4728,5800
| 2 | 4728, 5800 |
| 2 | 2364, 2900 |
| 2 | 1182, 1450 |
| 591, 725 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4728,5800 By Matching Biggest Common Factor Method
Now, list down the factors of 4728
:1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Now, list down the factors of 5800
:1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800
Greatest Common Factor
We found the factors 4728,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 4728,5800 is 8.
Lets's calculate LCM of 754,8812
| 2 | 754, 8812 |
| 377, 4406 |
∴ So the LCM of the given numbers is 2 x 377 x 4406 = 3322124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3322124
Therefore, the GCF of Fractions 4728/754,5800/8812 is 8/3322124
Least Common Multiple of 754,8812 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 754,8812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,8812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,8812) x common factors =2 x 1 = 2
LCM(754,8812) = ( 754 × 8812 ) / 2
LCM(754,8812) = 6644248 / 2
LCM(754,8812) = 3322124
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FAQs on GCF of Fractions of 4728/754, 5800/8812
1. What is the HCF of 4728,5800?
The HCF of 4728,5800 is 8
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 4728/754, 5800/8812?
Answer: GCF of Numerators as per given numbers 4728/754, 5800/8812 is
GCF of Numerators i.e. for 4728,5800 is 8
LCM of denominators i.e. for 754,8812 is 3322124.
Thus, GCF of Fractions is 8/3322124.Finally, GCF of Fractions for 4728/754, 5800/8812 is 8/3322124.