GCF of 6238/159, 1769/3454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6238/159, 1769/3454 i.e 1/549186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6238/159, 1769/3454.
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 6238/159,1769/3454?
Given fractions are 6238/159,1769/3454
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 6238/159,1769/3454, numerators are 6238,1769
Denominators are 159,3454
The GCF of 6238,1769 is 1 .
LCM of 159,3454 is 549186.
The greatest common factor of 6238/159,1769/3454 = [GCF of 6238,1769]/[LCM of 159,3454]= 1/549186
Therefore, the GCF of 6238/159,1769/3454 is 1/549186.
To find the highest common factor of 6238,1769, we have to find the factors of both numbers and list the highest common factor.
The factors of 6238 are 1, 2, 3119, 6238
The factors of 1769 are 1, 29, 61, 1769
The HCF of 6238,1769 is 1.
Lets's calculate GCF of 6238,1769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6238,1769 By Matching Biggest Common Factor Method
Now, list down the factors of 6238
:1,2,3119,6238
Now, list down the factors of 1769
:1,29,61,1769
Greatest Common Factor
We found the factors 6238,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 6238,1769 is 1.
Lets's calculate LCM of 159,3454
Given numbers has no common factors except 1. So, there LCM is their product i.e 549186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549186
Therefore, the GCF of Fractions 6238/159,1769/3454 is 1/549186
Least Common Multiple of 159,3454 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 159,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3454) x common factors =1 x 1 = 1
LCM(159,3454) = ( 159 × 3454 ) / 1
LCM(159,3454) = 549186 / 1
LCM(159,3454) = 549186
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FAQs on GCF of Fractions of 6238/159, 1769/3454
1. What is the HCF of 6238,1769?
The HCF of 6238,1769 is 1
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 6238/159, 1769/3454?
Answer: GCF of Numerators as per given numbers 6238/159, 1769/3454 is
GCF of Numerators i.e. for 6238,1769 is 1
LCM of denominators i.e. for 159,3454 is 549186.
Thus, GCF of Fractions is 1/549186.Finally, GCF of Fractions for 6238/159, 1769/3454 is 1/549186.