GCF of 495/138, 120/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/138, 120/804 i.e 15/18492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/138, 120/804.
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 495/138,120/804?
Given fractions are 495/138,120/804
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 495/138,120/804, numerators are 495,120
Denominators are 138,804
The GCF of 495,120 is 15 .
LCM of 138,804 is 18492.
The greatest common factor of 495/138,120/804 = [GCF of 495,120]/[LCM of 138,804]= 15/18492
Therefore, the GCF of 495/138,120/804 is 15/18492.
To find the highest common factor of 495,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 495,120 is 15.
Lets's calculate GCF of 495,120
| 3 | 495, 120 |
| 5 | 165, 40 |
| 33, 8 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 495,120 By Matching Biggest Common Factor Method
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
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 495,120 . The biggest common factor number is the GCF number.
So the greatest common factor 495,120 is 15.
Lets's calculate LCM of 138,804
| 2 | 138, 804 |
| 3 | 69, 402 |
| 23, 134 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 134 = 18492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/18492
Therefore, the GCF of Fractions 495/138,120/804 is 15/18492
Least Common Multiple of 138,804 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 138,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,804) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(138,804) x common factors =6 x 1 = 6
LCM(138,804) = ( 138 × 804 ) / 6
LCM(138,804) = 110952 / 6
LCM(138,804) = 18492
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FAQs on GCF of Fractions of 495/138, 120/804
1. What is the HCF of 495,120?
The HCF of 495,120 is 15
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 495/138, 120/804?
Answer: GCF of Numerators as per given numbers 495/138, 120/804 is
GCF of Numerators i.e. for 495,120 is 15
LCM of denominators i.e. for 138,804 is 18492.
Thus, GCF of Fractions is 15/18492.Finally, GCF of Fractions for 495/138, 120/804 is 15/18492.