GCF of 161/905, 1769/5318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 161/905, 1769/5318 i.e 1/4812790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/905, 1769/5318.
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 161/905,1769/5318?
Given fractions are 161/905,1769/5318
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 161/905,1769/5318, numerators are 161,1769
Denominators are 905,5318
The GCF of 161,1769 is 1 .
LCM of 905,5318 is 4812790.
The greatest common factor of 161/905,1769/5318 = [GCF of 161,1769]/[LCM of 905,5318]= 1/4812790
Therefore, the GCF of 161/905,1769/5318 is 1/4812790.
To find the highest common factor of 161,1769, we have to find the factors of both numbers and list the highest common factor.
The factors of 161 are 1, 7, 23, 161
The factors of 1769 are 1, 29, 61, 1769
The HCF of 161,1769 is 1.
Lets's calculate GCF of 161,1769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 161,1769 By Matching Biggest Common Factor Method
Now, list down the factors of 161
:1,7,23,161
Now, list down the factors of 1769
:1,29,61,1769
Greatest Common Factor
We found the factors 161,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 161,1769 is 1.
Lets's calculate LCM of 905,5318
Given numbers has no common factors except 1. So, there LCM is their product i.e 4812790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4812790
Therefore, the GCF of Fractions 161/905,1769/5318 is 1/4812790
Least Common Multiple of 905,5318 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 905,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,5318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,5318) x common factors =1 x 1 = 1
LCM(905,5318) = ( 905 × 5318 ) / 1
LCM(905,5318) = 4812790 / 1
LCM(905,5318) = 4812790
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FAQs on GCF of Fractions of 161/905, 1769/5318
1. What is the HCF of 161,1769?
The HCF of 161,1769 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 161/905, 1769/5318?
Answer: GCF of Numerators as per given numbers 161/905, 1769/5318 is
GCF of Numerators i.e. for 161,1769 is 1
LCM of denominators i.e. for 905,5318 is 4812790.
Thus, GCF of Fractions is 1/4812790.Finally, GCF of Fractions for 161/905, 1769/5318 is 1/4812790.