GCF of 495/118, 800/236
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/118, 800/236 i.e 5/236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/118, 800/236.
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 495/118,800/236?
Given fractions are 495/118,800/236
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 495/118,800/236, numerators are 495,800
Denominators are 118,236
The GCF of 495,800 is 5 .
LCM of 118,236 is 236.
The greatest common factor of 495/118,800/236 = [GCF of 495,800]/[LCM of 118,236]= 5/236
Therefore, the GCF of 495/118,800/236 is 5/236.
To find the highest common factor of 495,800, 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 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The HCF of 495,800 is 5.
Lets's calculate GCF of 495,800
| 5 | 495, 800 |
| 99, 160 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 495,800 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 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 495,800 . The biggest common factor number is the GCF number.
So the greatest common factor 495,800 is 5.
Lets's calculate LCM of 118,236
| 2 | 118, 236 |
| 59 | 59, 118 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 59 x 1 x 2 = 236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/236
Therefore, the GCF of Fractions 495/118,800/236 is 5/236
Least Common Multiple of 118,236 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 118,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,236) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(118,236) x common factors =118 x 1 = 118
LCM(118,236) = ( 118 × 236 ) / 118
LCM(118,236) = 27848 / 118
LCM(118,236) = 236
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FAQs on GCF of Fractions of 495/118, 800/236
1. What is the HCF of 495,800?
The HCF of 495,800 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 495/118, 800/236?
Answer: GCF of Numerators as per given numbers 495/118, 800/236 is
GCF of Numerators i.e. for 495,800 is 5
LCM of denominators i.e. for 118,236 is 236.
Thus, GCF of Fractions is 5/236.Finally, GCF of Fractions for 495/118, 800/236 is 5/236.