GCF of 7424/290, 8459/3240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7424/290, 8459/3240 i.e 1/93960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/290, 8459/3240.
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 7424/290,8459/3240?
Given fractions are 7424/290,8459/3240
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 7424/290,8459/3240, numerators are 7424,8459
Denominators are 290,3240
The GCF of 7424,8459 is 1 .
LCM of 290,3240 is 93960.
The greatest common factor of 7424/290,8459/3240 = [GCF of 7424,8459]/[LCM of 290,3240]= 1/93960
Therefore, the GCF of 7424/290,8459/3240 is 1/93960.
To find the highest common factor of 7424,8459, we have to find the factors of both numbers and list the highest common factor.
The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424
The factors of 8459 are 1, 11, 769, 8459
The HCF of 7424,8459 is 1.
Lets's calculate GCF of 7424,8459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7424,8459 By Matching Biggest Common Factor Method
Now, list down the factors of 7424
:1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424
Now, list down the factors of 8459
:1,11,769,8459
Greatest Common Factor
We found the factors 7424,8459 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,8459 is 1.
Lets's calculate LCM of 290,3240
| 2 | 290, 3240 |
| 5 | 145, 1620 |
| 29, 324 |
∴ So the LCM of the given numbers is 2 x 5 x 29 x 324 = 93960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93960
Therefore, the GCF of Fractions 7424/290,8459/3240 is 1/93960
Least Common Multiple of 290,3240 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 290,3240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3240) x common factors =10 x 1 = 10
LCM(290,3240) = ( 290 × 3240 ) / 10
LCM(290,3240) = 939600 / 10
LCM(290,3240) = 93960
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FAQs on GCF of Fractions of 7424/290, 8459/3240
1. What is the HCF of 7424,8459?
The HCF of 7424,8459 is 1
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 7424/290, 8459/3240?
Answer: GCF of Numerators as per given numbers 7424/290, 8459/3240 is
GCF of Numerators i.e. for 7424,8459 is 1
LCM of denominators i.e. for 290,3240 is 93960.
Thus, GCF of Fractions is 1/93960.Finally, GCF of Fractions for 7424/290, 8459/3240 is 1/93960.