GCF of 4812/831, 5200/2744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4812/831, 5200/2744 i.e 4/2280264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4812/831, 5200/2744.
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 4812/831,5200/2744?
Given fractions are 4812/831,5200/2744
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 4812/831,5200/2744, numerators are 4812,5200
Denominators are 831,2744
The GCF of 4812,5200 is 4 .
LCM of 831,2744 is 2280264.
The greatest common factor of 4812/831,5200/2744 = [GCF of 4812,5200]/[LCM of 831,2744]= 4/2280264
Therefore, the GCF of 4812/831,5200/2744 is 4/2280264.
To find the highest common factor of 4812,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 4812 are 1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 4812,5200 is 4.
Lets's calculate GCF of 4812,5200
| 2 | 4812, 5200 |
| 2 | 2406, 2600 |
| 1203, 1300 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4812,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 4812
:1,2,3,4,6,12,401,802,1203,1604,2406,4812
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 4812,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 4812,5200 is 4.
Lets's calculate LCM of 831,2744
Given numbers has no common factors except 1. So, there LCM is their product i.e 2280264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2280264
Therefore, the GCF of Fractions 4812/831,5200/2744 is 4/2280264
Least Common Multiple of 831,2744 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 831,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,2744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,2744) x common factors =1 x 1 = 1
LCM(831,2744) = ( 831 × 2744 ) / 1
LCM(831,2744) = 2280264 / 1
LCM(831,2744) = 2280264
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FAQs on GCF of Fractions of 4812/831, 5200/2744
1. What is the HCF of 4812,5200?
The HCF of 4812,5200 is 4
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 4812/831, 5200/2744?
Answer: GCF of Numerators as per given numbers 4812/831, 5200/2744 is
GCF of Numerators i.e. for 4812,5200 is 4
LCM of denominators i.e. for 831,2744 is 2280264.
Thus, GCF of Fractions is 4/2280264.Finally, GCF of Fractions for 4812/831, 5200/2744 is 4/2280264.