GCF of 6163/558, 6698/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6163/558, 6698/769 i.e 1/429102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6163/558, 6698/769.
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 6163/558,6698/769?
Given fractions are 6163/558,6698/769
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 6163/558,6698/769, numerators are 6163,6698
Denominators are 558,769
The GCF of 6163,6698 is 1 .
LCM of 558,769 is 429102.
The greatest common factor of 6163/558,6698/769 = [GCF of 6163,6698]/[LCM of 558,769]= 1/429102
Therefore, the GCF of 6163/558,6698/769 is 1/429102.
To find the highest common factor of 6163,6698, we have to find the factors of both numbers and list the highest common factor.
The factors of 6163 are 1, 6163
The factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698
The HCF of 6163,6698 is 1.
Lets's calculate GCF of 6163,6698
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6163,6698 By Matching Biggest Common Factor Method
Now, list down the factors of 6163
:1,6163
Now, list down the factors of 6698
:1,2,17,34,197,394,3349,6698
Greatest Common Factor
We found the factors 6163,6698 . The biggest common factor number is the GCF number.
So the greatest common factor 6163,6698 is 1.
Lets's calculate LCM of 558,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 429102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429102
Therefore, the GCF of Fractions 6163/558,6698/769 is 1/429102
Least Common Multiple of 558,769 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 558,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,769) x common factors =1 x 1 = 1
LCM(558,769) = ( 558 × 769 ) / 1
LCM(558,769) = 429102 / 1
LCM(558,769) = 429102
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FAQs on GCF of Fractions of 6163/558, 6698/769
1. What is the HCF of 6163,6698?
The HCF of 6163,6698 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 6163/558, 6698/769?
Answer: GCF of Numerators as per given numbers 6163/558, 6698/769 is
GCF of Numerators i.e. for 6163,6698 is 1
LCM of denominators i.e. for 558,769 is 429102.
Thus, GCF of Fractions is 1/429102.Finally, GCF of Fractions for 6163/558, 6698/769 is 1/429102.