GCF of 22/65, 336/44, 160/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/65, 336/44, 160/817 i.e 2/2336620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/65, 336/44, 160/817.
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 22/65,336/44,160/817?
Given fractions are 22/65,336/44,160/817
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 22/65,336/44,160/817, numerators are 22,336,160
Denominators are 65,44,817
The GCF of 22,336,160 is 2 .
LCM of 65,44,817 is 2336620.
The greatest common factor of 22/65,336/44,160/817 = [GCF of 22,336,160]/[LCM of 65,44,817]= 2/2336620
Therefore, the GCF of 22/65,336/44,160/817 is 2/2336620.
To find the highest common factor of 22,336,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 22,336,160 is 2.
Lets's calculate GCF of 22,336,160
| 2 | 22, 336, 160 |
| 11, 168, 80 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 22,336,160 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 22,336,160 . The biggest common factor number is the GCF number.
So the greatest common factor 22,336,160 is 2.
Lets's calculate LCM of 65,44,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 2336620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2336620
Therefore, the GCF of Fractions 22/65,336/44,160/817 is 2/2336620
Least Common Multiple of 65,44,817 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 65,44,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,44,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,44,817) x common factors =1 x 1 = 1
LCM(65,44,817) = ( 65 × 44 × 817 ) / 1
LCM(65,44,817) = 2336620 / 1
LCM(65,44,817) = 2336620
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FAQs on GCF of Fractions of 22/65, 336/44, 160/817
1. What is the HCF of 22,336,160?
The HCF of 22,336,160 is 2
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 22/65, 336/44, 160/817?
Answer: GCF of Numerators as per given numbers 22/65, 336/44, 160/817 is
GCF of Numerators i.e. for 22,336,160 is 2
LCM of denominators i.e. for 65,44,817 is 2336620.
Thus, GCF of Fractions is 2/2336620.Finally, GCF of Fractions for 22/65, 336/44, 160/817 is 2/2336620.