GCF of 2405/622, 2812/8731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2405/622, 2812/8731 i.e 37/5430682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2405/622, 2812/8731.
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 2405/622,2812/8731?
Given fractions are 2405/622,2812/8731
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 2405/622,2812/8731, numerators are 2405,2812
Denominators are 622,8731
The GCF of 2405,2812 is 37 .
LCM of 622,8731 is 5430682.
The greatest common factor of 2405/622,2812/8731 = [GCF of 2405,2812]/[LCM of 622,8731]= 37/5430682
Therefore, the GCF of 2405/622,2812/8731 is 37/5430682.
To find the highest common factor of 2405,2812, we have to find the factors of both numbers and list the highest common factor.
The factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405
The factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812
The HCF of 2405,2812 is 37.
Lets's calculate GCF of 2405,2812
| 37 | 2405, 2812 |
| 65, 76 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 2405,2812 By Matching Biggest Common Factor Method
Now, list down the factors of 2405
:1,5,13,37,65,185,481,2405
Now, list down the factors of 2812
:1,2,4,19,37,38,74,76,148,703,1406,2812
Greatest Common Factor
We found the factors 2405,2812 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,2812 is 37.
Lets's calculate LCM of 622,8731
Given numbers has no common factors except 1. So, there LCM is their product i.e 5430682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/5430682
Therefore, the GCF of Fractions 2405/622,2812/8731 is 37/5430682
Least Common Multiple of 622,8731 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 622,8731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,8731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,8731) x common factors =1 x 1 = 1
LCM(622,8731) = ( 622 × 8731 ) / 1
LCM(622,8731) = 5430682 / 1
LCM(622,8731) = 5430682
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FAQs on GCF of Fractions of 2405/622, 2812/8731
1. What is the HCF of 2405,2812?
The HCF of 2405,2812 is 37
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 2405/622, 2812/8731?
Answer: GCF of Numerators as per given numbers 2405/622, 2812/8731 is
GCF of Numerators i.e. for 2405,2812 is 37
LCM of denominators i.e. for 622,8731 is 5430682.
Thus, GCF of Fractions is 37/5430682.Finally, GCF of Fractions for 2405/622, 2812/8731 is 37/5430682.