GCF of 9795/180, 1077/4505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9795/180, 1077/4505 i.e 3/162180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9795/180, 1077/4505.
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 9795/180,1077/4505?
Given fractions are 9795/180,1077/4505
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 9795/180,1077/4505, numerators are 9795,1077
Denominators are 180,4505
The GCF of 9795,1077 is 3 .
LCM of 180,4505 is 162180.
The greatest common factor of 9795/180,1077/4505 = [GCF of 9795,1077]/[LCM of 180,4505]= 3/162180
Therefore, the GCF of 9795/180,1077/4505 is 3/162180.
To find the highest common factor of 9795,1077, we have to find the factors of both numbers and list the highest common factor.
The factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795
The factors of 1077 are 1, 3, 359, 1077
The HCF of 9795,1077 is 3.
Lets's calculate GCF of 9795,1077
| 3 | 9795, 1077 |
| 3265, 359 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9795,1077 By Matching Biggest Common Factor Method
Now, list down the factors of 9795
:1,3,5,15,653,1959,3265,9795
Now, list down the factors of 1077
:1,3,359,1077
Greatest Common Factor
We found the factors 9795,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 9795,1077 is 3.
Lets's calculate LCM of 180,4505
| 5 | 180, 4505 |
| 36, 901 |
∴ So the LCM of the given numbers is 5 x 36 x 901 = 162180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/162180
Therefore, the GCF of Fractions 9795/180,1077/4505 is 3/162180
Least Common Multiple of 180,4505 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 180,4505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,4505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(180,4505) x common factors =5 x 1 = 5
LCM(180,4505) = ( 180 × 4505 ) / 5
LCM(180,4505) = 810900 / 5
LCM(180,4505) = 162180
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FAQs on GCF of Fractions of 9795/180, 1077/4505
1. What is the HCF of 9795,1077?
The HCF of 9795,1077 is 3
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 9795/180, 1077/4505?
Answer: GCF of Numerators as per given numbers 9795/180, 1077/4505 is
GCF of Numerators i.e. for 9795,1077 is 3
LCM of denominators i.e. for 180,4505 is 162180.
Thus, GCF of Fractions is 3/162180.Finally, GCF of Fractions for 9795/180, 1077/4505 is 3/162180.