GCF of 4585/171, 1112/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4585/171, 1112/305 i.e 1/52155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4585/171, 1112/305.
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 4585/171,1112/305?
Given fractions are 4585/171,1112/305
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 4585/171,1112/305, numerators are 4585,1112
Denominators are 171,305
The GCF of 4585,1112 is 1 .
LCM of 171,305 is 52155.
The greatest common factor of 4585/171,1112/305 = [GCF of 4585,1112]/[LCM of 171,305]= 1/52155
Therefore, the GCF of 4585/171,1112/305 is 1/52155.
To find the highest common factor of 4585,1112, we have to find the factors of both numbers and list the highest common factor.
The factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585
The factors of 1112 are 1, 2, 4, 8, 139, 278, 556, 1112
The HCF of 4585,1112 is 1.
Lets's calculate GCF of 4585,1112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4585,1112 By Matching Biggest Common Factor Method
Now, list down the factors of 4585
:1,5,7,35,131,655,917,4585
Now, list down the factors of 1112
:1,2,4,8,139,278,556,1112
Greatest Common Factor
We found the factors 4585,1112 . The biggest common factor number is the GCF number.
So the greatest common factor 4585,1112 is 1.
Lets's calculate LCM of 171,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 52155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52155
Therefore, the GCF of Fractions 4585/171,1112/305 is 1/52155
Least Common Multiple of 171,305 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 171,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,305) x common factors =1 x 1 = 1
LCM(171,305) = ( 171 × 305 ) / 1
LCM(171,305) = 52155 / 1
LCM(171,305) = 52155
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FAQs on GCF of Fractions of 4585/171, 1112/305
1. What is the HCF of 4585,1112?
The HCF of 4585,1112 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 4585/171, 1112/305?
Answer: GCF of Numerators as per given numbers 4585/171, 1112/305 is
GCF of Numerators i.e. for 4585,1112 is 1
LCM of denominators i.e. for 171,305 is 52155.
Thus, GCF of Fractions is 1/52155.Finally, GCF of Fractions for 4585/171, 1112/305 is 1/52155.