GCF of 365/75, 120/1202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 365/75, 120/1202 i.e 5/90150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 365/75, 120/1202.
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 365/75,120/1202?
Given fractions are 365/75,120/1202
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 365/75,120/1202, numerators are 365,120
Denominators are 75,1202
The GCF of 365,120 is 5 .
LCM of 75,1202 is 90150.
The greatest common factor of 365/75,120/1202 = [GCF of 365,120]/[LCM of 75,1202]= 5/90150
Therefore, the GCF of 365/75,120/1202 is 5/90150.
To find the highest common factor of 365,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 365 are 1, 5, 73, 365
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 365,120 is 5.
Lets's calculate GCF of 365,120
| 5 | 365, 120 |
| 73, 24 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 365,120 By Matching Biggest Common Factor Method
Now, list down the factors of 365
:1,5,73,365
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 365,120 . The biggest common factor number is the GCF number.
So the greatest common factor 365,120 is 5.
Lets's calculate LCM of 75,1202
Given numbers has no common factors except 1. So, there LCM is their product i.e 90150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/90150
Therefore, the GCF of Fractions 365/75,120/1202 is 5/90150
Least Common Multiple of 75,1202 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 75,1202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,1202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,1202) x common factors =1 x 1 = 1
LCM(75,1202) = ( 75 × 1202 ) / 1
LCM(75,1202) = 90150 / 1
LCM(75,1202) = 90150
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FAQs on GCF of Fractions of 365/75, 120/1202
1. What is the HCF of 365,120?
The HCF of 365,120 is 5
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 365/75, 120/1202?
Answer: GCF of Numerators as per given numbers 365/75, 120/1202 is
GCF of Numerators i.e. for 365,120 is 5
LCM of denominators i.e. for 75,1202 is 90150.
Thus, GCF of Fractions is 5/90150.Finally, GCF of Fractions for 365/75, 120/1202 is 5/90150.