GCF of 1622/344, 3614/9410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1622/344, 3614/9410 i.e 2/1618520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1622/344, 3614/9410.
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 1622/344,3614/9410?
Given fractions are 1622/344,3614/9410
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 1622/344,3614/9410, numerators are 1622,3614
Denominators are 344,9410
The GCF of 1622,3614 is 2 .
LCM of 344,9410 is 1618520.
The greatest common factor of 1622/344,3614/9410 = [GCF of 1622,3614]/[LCM of 344,9410]= 2/1618520
Therefore, the GCF of 1622/344,3614/9410 is 2/1618520.
To find the highest common factor of 1622,3614, we have to find the factors of both numbers and list the highest common factor.
The factors of 1622 are 1, 2, 811, 1622
The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614
The HCF of 1622,3614 is 2.
Lets's calculate GCF of 1622,3614
| 2 | 1622, 3614 |
| 811, 1807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1622,3614 By Matching Biggest Common Factor Method
Now, list down the factors of 1622
:1,2,811,1622
Now, list down the factors of 3614
:1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors 1622,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 1622,3614 is 2.
Lets's calculate LCM of 344,9410
| 2 | 344, 9410 |
| 172, 4705 |
∴ So the LCM of the given numbers is 2 x 172 x 4705 = 1618520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1618520
Therefore, the GCF of Fractions 1622/344,3614/9410 is 2/1618520
Least Common Multiple of 344,9410 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 344,9410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,9410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(344,9410) x common factors =2 x 1 = 2
LCM(344,9410) = ( 344 × 9410 ) / 2
LCM(344,9410) = 3237040 / 2
LCM(344,9410) = 1618520
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FAQs on GCF of Fractions of 1622/344, 3614/9410
1. What is the HCF of 1622,3614?
The HCF of 1622,3614 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 1622/344, 3614/9410?
Answer: GCF of Numerators as per given numbers 1622/344, 3614/9410 is
GCF of Numerators i.e. for 1622,3614 is 2
LCM of denominators i.e. for 344,9410 is 1618520.
Thus, GCF of Fractions is 2/1618520.Finally, GCF of Fractions for 1622/344, 3614/9410 is 2/1618520.