GCF of 3759/172, 6432/3344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3759/172, 6432/3344 i.e 3/143792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3759/172, 6432/3344.
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 3759/172,6432/3344?
Given fractions are 3759/172,6432/3344
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 3759/172,6432/3344, numerators are 3759,6432
Denominators are 172,3344
The GCF of 3759,6432 is 3 .
LCM of 172,3344 is 143792.
The greatest common factor of 3759/172,6432/3344 = [GCF of 3759,6432]/[LCM of 172,3344]= 3/143792
Therefore, the GCF of 3759/172,6432/3344 is 3/143792.
To find the highest common factor of 3759,6432, we have to find the factors of both numbers and list the highest common factor.
The factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759
The factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432
The HCF of 3759,6432 is 3.
Lets's calculate GCF of 3759,6432
| 3 | 3759, 6432 |
| 1253, 2144 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3759,6432 By Matching Biggest Common Factor Method
Now, list down the factors of 3759
:1,3,7,21,179,537,1253,3759
Now, list down the factors of 6432
:1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Greatest Common Factor
We found the factors 3759,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 3759,6432 is 3.
Lets's calculate LCM of 172,3344
| 2 | 172, 3344 |
| 2 | 86, 1672 |
| 43, 836 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 836 = 143792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/143792
Therefore, the GCF of Fractions 3759/172,6432/3344 is 3/143792
Least Common Multiple of 172,3344 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 172,3344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,3344) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(172,3344) x common factors =4 x 1 = 4
LCM(172,3344) = ( 172 × 3344 ) / 4
LCM(172,3344) = 575168 / 4
LCM(172,3344) = 143792
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FAQs on GCF of Fractions of 3759/172, 6432/3344
1. What is the HCF of 3759,6432?
The HCF of 3759,6432 is 3
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 3759/172, 6432/3344?
Answer: GCF of Numerators as per given numbers 3759/172, 6432/3344 is
GCF of Numerators i.e. for 3759,6432 is 3
LCM of denominators i.e. for 172,3344 is 143792.
Thus, GCF of Fractions is 3/143792.Finally, GCF of Fractions for 3759/172, 6432/3344 is 3/143792.