GCF of 6122/765, 5907/203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6122/765, 5907/203 i.e 1/155295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6122/765, 5907/203.
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 6122/765,5907/203?
Given fractions are 6122/765,5907/203
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 6122/765,5907/203, numerators are 6122,5907
Denominators are 765,203
The GCF of 6122,5907 is 1 .
LCM of 765,203 is 155295.
The greatest common factor of 6122/765,5907/203 = [GCF of 6122,5907]/[LCM of 765,203]= 1/155295
Therefore, the GCF of 6122/765,5907/203 is 1/155295.
To find the highest common factor of 6122,5907, we have to find the factors of both numbers and list the highest common factor.
The factors of 6122 are 1, 2, 3061, 6122
The factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907
The HCF of 6122,5907 is 1.
Lets's calculate GCF of 6122,5907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6122,5907 By Matching Biggest Common Factor Method
Now, list down the factors of 6122
:1,2,3061,6122
Now, list down the factors of 5907
:1,3,11,33,179,537,1969,5907
Greatest Common Factor
We found the factors 6122,5907 . The biggest common factor number is the GCF number.
So the greatest common factor 6122,5907 is 1.
Lets's calculate LCM of 765,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 155295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155295
Therefore, the GCF of Fractions 6122/765,5907/203 is 1/155295
Least Common Multiple of 765,203 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 765,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,203) x common factors =1 x 1 = 1
LCM(765,203) = ( 765 × 203 ) / 1
LCM(765,203) = 155295 / 1
LCM(765,203) = 155295
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FAQs on GCF of Fractions of 6122/765, 5907/203
1. What is the HCF of 6122,5907?
The HCF of 6122,5907 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 6122/765, 5907/203?
Answer: GCF of Numerators as per given numbers 6122/765, 5907/203 is
GCF of Numerators i.e. for 6122,5907 is 1
LCM of denominators i.e. for 765,203 is 155295.
Thus, GCF of Fractions is 1/155295.Finally, GCF of Fractions for 6122/765, 5907/203 is 1/155295.