GCF of 7448/324, 3638/1761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7448/324, 3638/1761 i.e 2/190188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7448/324, 3638/1761.
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 7448/324,3638/1761?
Given fractions are 7448/324,3638/1761
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 7448/324,3638/1761, numerators are 7448,3638
Denominators are 324,1761
The GCF of 7448,3638 is 2 .
LCM of 324,1761 is 190188.
The greatest common factor of 7448/324,3638/1761 = [GCF of 7448,3638]/[LCM of 324,1761]= 2/190188
Therefore, the GCF of 7448/324,3638/1761 is 2/190188.
To find the highest common factor of 7448,3638, we have to find the factors of both numbers and list the highest common factor.
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The factors of 3638 are 1, 2, 17, 34, 107, 214, 1819, 3638
The HCF of 7448,3638 is 2.
Lets's calculate GCF of 7448,3638
| 2 | 7448, 3638 |
| 3724, 1819 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7448,3638 By Matching Biggest Common Factor Method
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Now, list down the factors of 3638
:1,2,17,34,107,214,1819,3638
Greatest Common Factor
We found the factors 7448,3638 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,3638 is 2.
Lets's calculate LCM of 324,1761
| 3 | 324, 1761 |
| 108, 587 |
∴ So the LCM of the given numbers is 3 x 108 x 587 = 190188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/190188
Therefore, the GCF of Fractions 7448/324,3638/1761 is 2/190188
Least Common Multiple of 324,1761 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 324,1761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,1761) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(324,1761) x common factors =3 x 1 = 3
LCM(324,1761) = ( 324 × 1761 ) / 3
LCM(324,1761) = 570564 / 3
LCM(324,1761) = 190188
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FAQs on GCF of Fractions of 7448/324, 3638/1761
1. What is the HCF of 7448,3638?
The HCF of 7448,3638 is 2
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 7448/324, 3638/1761?
Answer: GCF of Numerators as per given numbers 7448/324, 3638/1761 is
GCF of Numerators i.e. for 7448,3638 is 2
LCM of denominators i.e. for 324,1761 is 190188.
Thus, GCF of Fractions is 2/190188.Finally, GCF of Fractions for 7448/324, 3638/1761 is 2/190188.