GCF of 1620/698, 5378/1642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1620/698, 5378/1642 i.e 2/573058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1620/698, 5378/1642.
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 1620/698,5378/1642?
Given fractions are 1620/698,5378/1642
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 1620/698,5378/1642, numerators are 1620,5378
Denominators are 698,1642
The GCF of 1620,5378 is 2 .
LCM of 698,1642 is 573058.
The greatest common factor of 1620/698,5378/1642 = [GCF of 1620,5378]/[LCM of 698,1642]= 2/573058
Therefore, the GCF of 1620/698,5378/1642 is 2/573058.
To find the highest common factor of 1620,5378, we have to find the factors of both numbers and list the highest common factor.
The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
The factors of 5378 are 1, 2, 2689, 5378
The HCF of 1620,5378 is 2.
Lets's calculate GCF of 1620,5378
| 2 | 1620, 5378 |
| 810, 2689 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1620,5378 By Matching Biggest Common Factor Method
Now, list down the factors of 1620
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Now, list down the factors of 5378
:1,2,2689,5378
Greatest Common Factor
We found the factors 1620,5378 . The biggest common factor number is the GCF number.
So the greatest common factor 1620,5378 is 2.
Lets's calculate LCM of 698,1642
| 2 | 698, 1642 |
| 349, 821 |
∴ So the LCM of the given numbers is 2 x 349 x 821 = 573058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/573058
Therefore, the GCF of Fractions 1620/698,5378/1642 is 2/573058
Least Common Multiple of 698,1642 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 698,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,1642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,1642) x common factors =2 x 1 = 2
LCM(698,1642) = ( 698 × 1642 ) / 2
LCM(698,1642) = 1146116 / 2
LCM(698,1642) = 573058
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FAQs on GCF of Fractions of 1620/698, 5378/1642
1. What is the HCF of 1620,5378?
The HCF of 1620,5378 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 1620/698, 5378/1642?
Answer: GCF of Numerators as per given numbers 1620/698, 5378/1642 is
GCF of Numerators i.e. for 1620,5378 is 2
LCM of denominators i.e. for 698,1642 is 573058.
Thus, GCF of Fractions is 2/573058.Finally, GCF of Fractions for 1620/698, 5378/1642 is 2/573058.