GCF of 3744/600, 4128/5325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3744/600, 4128/5325 i.e 96/42600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3744/600, 4128/5325.
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 3744/600,4128/5325?
Given fractions are 3744/600,4128/5325
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 3744/600,4128/5325, numerators are 3744,4128
Denominators are 600,5325
The GCF of 3744,4128 is 96 .
LCM of 600,5325 is 42600.
The greatest common factor of 3744/600,4128/5325 = [GCF of 3744,4128]/[LCM of 600,5325]= 96/42600
Therefore, the GCF of 3744/600,4128/5325 is 96/42600.
To find the highest common factor of 3744,4128, we have to find the factors of both numbers and list the highest common factor.
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744
The factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128
The HCF of 3744,4128 is 96.
Lets's calculate GCF of 3744,4128
| 2 | 3744, 4128 |
| 2 | 1872, 2064 |
| 2 | 936, 1032 |
| 2 | 468, 516 |
| 2 | 234, 258 |
| 3 | 117, 129 |
| 39, 43 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96
Greatest Common Factor of 3744,4128 By Matching Biggest Common Factor Method
Now, list down the factors of 3744
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744
Now, list down the factors of 4128
:1,2,3,4,6,8,12,16,24,32,43,48,86,96,129,172,258,344,516,688,1032,1376,2064,4128
Greatest Common Factor
We found the factors 3744,4128 . The biggest common factor number is the GCF number.
So the greatest common factor 3744,4128 is 96.
Lets's calculate LCM of 600,5325
| 3 | 600, 5325 |
| 5 | 200, 1775 |
| 5 | 40, 355 |
| 8, 71 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 8 x 71 = 42600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/42600
Therefore, the GCF of Fractions 3744/600,4128/5325 is 96/42600
Least Common Multiple of 600,5325 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 600,5325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,5325) = 75
common factors(in case of two or more numbers have common factors) = 1
GCF(600,5325) x common factors =75 x 1 = 75
LCM(600,5325) = ( 600 × 5325 ) / 75
LCM(600,5325) = 3195000 / 75
LCM(600,5325) = 42600
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FAQs on GCF of Fractions of 3744/600, 4128/5325
1. What is the HCF of 3744,4128?
The HCF of 3744,4128 is 96
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 3744/600, 4128/5325?
Answer: GCF of Numerators as per given numbers 3744/600, 4128/5325 is
GCF of Numerators i.e. for 3744,4128 is 96
LCM of denominators i.e. for 600,5325 is 42600.
Thus, GCF of Fractions is 96/42600.Finally, GCF of Fractions for 3744/600, 4128/5325 is 96/42600.