GCF of 622/614, 3640/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 622/614, 3640/705 i.e 2/432870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 622/614, 3640/705.
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 622/614,3640/705?
Given fractions are 622/614,3640/705
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 622/614,3640/705, numerators are 622,3640
Denominators are 614,705
The GCF of 622,3640 is 2 .
LCM of 614,705 is 432870.
The greatest common factor of 622/614,3640/705 = [GCF of 622,3640]/[LCM of 614,705]= 2/432870
Therefore, the GCF of 622/614,3640/705 is 2/432870.
To find the highest common factor of 622,3640, we have to find the factors of both numbers and list the highest common factor.
The factors of 622 are 1, 2, 311, 622
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 622,3640 is 2.
Lets's calculate GCF of 622,3640
| 2 | 622, 3640 |
| 311, 1820 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 622,3640 By Matching Biggest Common Factor Method
Now, list down the factors of 622
:1,2,311,622
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 622,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 622,3640 is 2.
Lets's calculate LCM of 614,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 432870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/432870
Therefore, the GCF of Fractions 622/614,3640/705 is 2/432870
Least Common Multiple of 614,705 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 614,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,705) x common factors =1 x 1 = 1
LCM(614,705) = ( 614 × 705 ) / 1
LCM(614,705) = 432870 / 1
LCM(614,705) = 432870
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FAQs on GCF of Fractions of 622/614, 3640/705
1. What is the HCF of 622,3640?
The HCF of 622,3640 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 622/614, 3640/705?
Answer: GCF of Numerators as per given numbers 622/614, 3640/705 is
GCF of Numerators i.e. for 622,3640 is 2
LCM of denominators i.e. for 614,705 is 432870.
Thus, GCF of Fractions is 2/432870.Finally, GCF of Fractions for 622/614, 3640/705 is 2/432870.