GCF of 1917/162, 6378/524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1917/162, 6378/524 i.e 3/42444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1917/162, 6378/524.
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 1917/162,6378/524?
Given fractions are 1917/162,6378/524
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 1917/162,6378/524, numerators are 1917,6378
Denominators are 162,524
The GCF of 1917,6378 is 3 .
LCM of 162,524 is 42444.
The greatest common factor of 1917/162,6378/524 = [GCF of 1917,6378]/[LCM of 162,524]= 3/42444
Therefore, the GCF of 1917/162,6378/524 is 3/42444.
To find the highest common factor of 1917,6378, we have to find the factors of both numbers and list the highest common factor.
The factors of 1917 are 1, 3, 9, 27, 71, 213, 639, 1917
The factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378
The HCF of 1917,6378 is 3.
Lets's calculate GCF of 1917,6378
| 3 | 1917, 6378 |
| 639, 2126 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1917,6378 By Matching Biggest Common Factor Method
Now, list down the factors of 1917
:1,3,9,27,71,213,639,1917
Now, list down the factors of 6378
:1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors 1917,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 1917,6378 is 3.
Lets's calculate LCM of 162,524
| 2 | 162, 524 |
| 81, 262 |
∴ So the LCM of the given numbers is 2 x 81 x 262 = 42444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42444
Therefore, the GCF of Fractions 1917/162,6378/524 is 3/42444
Least Common Multiple of 162,524 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 162,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,524) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,524) x common factors =2 x 1 = 2
LCM(162,524) = ( 162 × 524 ) / 2
LCM(162,524) = 84888 / 2
LCM(162,524) = 42444
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FAQs on GCF of Fractions of 1917/162, 6378/524
1. What is the HCF of 1917,6378?
The HCF of 1917,6378 is 3
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 1917/162, 6378/524?
Answer: GCF of Numerators as per given numbers 1917/162, 6378/524 is
GCF of Numerators i.e. for 1917,6378 is 3
LCM of denominators i.e. for 162,524 is 42444.
Thus, GCF of Fractions is 3/42444.Finally, GCF of Fractions for 1917/162, 6378/524 is 3/42444.