GCF of 5205/120, 4586/1351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5205/120, 4586/1351 i.e 1/162120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5205/120, 4586/1351.
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 5205/120,4586/1351?
Given fractions are 5205/120,4586/1351
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 5205/120,4586/1351, numerators are 5205,4586
Denominators are 120,1351
The GCF of 5205,4586 is 1 .
LCM of 120,1351 is 162120.
The greatest common factor of 5205/120,4586/1351 = [GCF of 5205,4586]/[LCM of 120,1351]= 1/162120
Therefore, the GCF of 5205/120,4586/1351 is 1/162120.
To find the highest common factor of 5205,4586, we have to find the factors of both numbers and list the highest common factor.
The factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205
The factors of 4586 are 1, 2, 2293, 4586
The HCF of 5205,4586 is 1.
Lets's calculate GCF of 5205,4586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5205,4586 By Matching Biggest Common Factor Method
Now, list down the factors of 5205
:1,3,5,15,347,1041,1735,5205
Now, list down the factors of 4586
:1,2,2293,4586
Greatest Common Factor
We found the factors 5205,4586 . The biggest common factor number is the GCF number.
So the greatest common factor 5205,4586 is 1.
Lets's calculate LCM of 120,1351
Given numbers has no common factors except 1. So, there LCM is their product i.e 162120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162120
Therefore, the GCF of Fractions 5205/120,4586/1351 is 1/162120
Least Common Multiple of 120,1351 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 120,1351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,1351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,1351) x common factors =1 x 1 = 1
LCM(120,1351) = ( 120 × 1351 ) / 1
LCM(120,1351) = 162120 / 1
LCM(120,1351) = 162120
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FAQs on GCF of Fractions of 5205/120, 4586/1351
1. What is the HCF of 5205,4586?
The HCF of 5205,4586 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 5205/120, 4586/1351?
Answer: GCF of Numerators as per given numbers 5205/120, 4586/1351 is
GCF of Numerators i.e. for 5205,4586 is 1
LCM of denominators i.e. for 120,1351 is 162120.
Thus, GCF of Fractions is 1/162120.Finally, GCF of Fractions for 5205/120, 4586/1351 is 1/162120.