GCF of 1492/605, 1324/7317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1492/605, 1324/7317 i.e 4/4426785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1492/605, 1324/7317.
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 1492/605,1324/7317?
Given fractions are 1492/605,1324/7317
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 1492/605,1324/7317, numerators are 1492,1324
Denominators are 605,7317
The GCF of 1492,1324 is 4 .
LCM of 605,7317 is 4426785.
The greatest common factor of 1492/605,1324/7317 = [GCF of 1492,1324]/[LCM of 605,7317]= 4/4426785
Therefore, the GCF of 1492/605,1324/7317 is 4/4426785.
To find the highest common factor of 1492,1324, we have to find the factors of both numbers and list the highest common factor.
The factors of 1492 are 1, 2, 4, 373, 746, 1492
The factors of 1324 are 1, 2, 4, 331, 662, 1324
The HCF of 1492,1324 is 4.
Lets's calculate GCF of 1492,1324
| 2 | 1492, 1324 |
| 2 | 746, 662 |
| 373, 331 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1492,1324 By Matching Biggest Common Factor Method
Now, list down the factors of 1492
:1,2,4,373,746,1492
Now, list down the factors of 1324
:1,2,4,331,662,1324
Greatest Common Factor
We found the factors 1492,1324 . The biggest common factor number is the GCF number.
So the greatest common factor 1492,1324 is 4.
Lets's calculate LCM of 605,7317
Given numbers has no common factors except 1. So, there LCM is their product i.e 4426785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4426785
Therefore, the GCF of Fractions 1492/605,1324/7317 is 4/4426785
Least Common Multiple of 605,7317 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 605,7317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,7317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,7317) x common factors =1 x 1 = 1
LCM(605,7317) = ( 605 × 7317 ) / 1
LCM(605,7317) = 4426785 / 1
LCM(605,7317) = 4426785
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FAQs on GCF of Fractions of 1492/605, 1324/7317
1. What is the HCF of 1492,1324?
The HCF of 1492,1324 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 1492/605, 1324/7317?
Answer: GCF of Numerators as per given numbers 1492/605, 1324/7317 is
GCF of Numerators i.e. for 1492,1324 is 4
LCM of denominators i.e. for 605,7317 is 4426785.
Thus, GCF of Fractions is 4/4426785.Finally, GCF of Fractions for 1492/605, 1324/7317 is 4/4426785.