GCF of 820/217, 376/933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 820/217, 376/933 i.e 4/202461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 820/217, 376/933.
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 820/217,376/933?
Given fractions are 820/217,376/933
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 820/217,376/933, numerators are 820,376
Denominators are 217,933
The GCF of 820,376 is 4 .
LCM of 217,933 is 202461.
The greatest common factor of 820/217,376/933 = [GCF of 820,376]/[LCM of 217,933]= 4/202461
Therefore, the GCF of 820/217,376/933 is 4/202461.
To find the highest common factor of 820,376, we have to find the factors of both numbers and list the highest common factor.
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The HCF of 820,376 is 4.
Lets's calculate GCF of 820,376
| 2 | 820, 376 |
| 2 | 410, 188 |
| 205, 94 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 820,376 By Matching Biggest Common Factor Method
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 820,376 . The biggest common factor number is the GCF number.
So the greatest common factor 820,376 is 4.
Lets's calculate LCM of 217,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 202461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/202461
Therefore, the GCF of Fractions 820/217,376/933 is 4/202461
Least Common Multiple of 217,933 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 217,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,933) x common factors =1 x 1 = 1
LCM(217,933) = ( 217 × 933 ) / 1
LCM(217,933) = 202461 / 1
LCM(217,933) = 202461
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FAQs on GCF of Fractions of 820/217, 376/933
1. What is the HCF of 820,376?
The HCF of 820,376 is 4
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 820/217, 376/933?
Answer: GCF of Numerators as per given numbers 820/217, 376/933 is
GCF of Numerators i.e. for 820,376 is 4
LCM of denominators i.e. for 217,933 is 202461.
Thus, GCF of Fractions is 4/202461.Finally, GCF of Fractions for 820/217, 376/933 is 4/202461.