GCF of 6161/11, 6295/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6161/11, 6295/169 i.e 1/1859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6161/11, 6295/169.
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 6161/11,6295/169?
Given fractions are 6161/11,6295/169
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 6161/11,6295/169, numerators are 6161,6295
Denominators are 11,169
The GCF of 6161,6295 is 1 .
LCM of 11,169 is 1859.
The greatest common factor of 6161/11,6295/169 = [GCF of 6161,6295]/[LCM of 11,169]= 1/1859
Therefore, the GCF of 6161/11,6295/169 is 1/1859.
To find the highest common factor of 6161,6295, we have to find the factors of both numbers and list the highest common factor.
The factors of 6161 are 1, 61, 101, 6161
The factors of 6295 are 1, 5, 1259, 6295
The HCF of 6161,6295 is 1.
Lets's calculate GCF of 6161,6295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6161,6295 By Matching Biggest Common Factor Method
Now, list down the factors of 6161
:1,61,101,6161
Now, list down the factors of 6295
:1,5,1259,6295
Greatest Common Factor
We found the factors 6161,6295 . The biggest common factor number is the GCF number.
So the greatest common factor 6161,6295 is 1.
Lets's calculate LCM of 11,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 1859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1859
Therefore, the GCF of Fractions 6161/11,6295/169 is 1/1859
Least Common Multiple of 11,169 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 11,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,169) x common factors =1 x 1 = 1
LCM(11,169) = ( 11 × 169 ) / 1
LCM(11,169) = 1859 / 1
LCM(11,169) = 1859
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FAQs on GCF of Fractions of 6161/11, 6295/169
1. What is the HCF of 6161,6295?
The HCF of 6161,6295 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 6161/11, 6295/169?
Answer: GCF of Numerators as per given numbers 6161/11, 6295/169 is
GCF of Numerators i.e. for 6161,6295 is 1
LCM of denominators i.e. for 11,169 is 1859.
Thus, GCF of Fractions is 1/1859.Finally, GCF of Fractions for 6161/11, 6295/169 is 1/1859.