Highest Common Factor of 833, 899, 319 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 833, 899, 319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 833, 899, 319 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 833, 899, 319 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 833, 899, 319 is 1.
HCF(833, 899, 319) = 1
HCF of 833, 899, 319 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 833, 899, 319 is 1.
Highest Common Factor of 833,899,319 is 1
Step 1: Since 899 > 833, we apply the division lemma to 899 and 833, to get
899 = 833 x 1 + 66
Step 2: Since the reminder 833 ≠ 0, we apply division lemma to 66 and 833, to get
833 = 66 x 12 + 41
Step 3: We consider the new divisor 66 and the new remainder 41, and apply the division lemma to get
66 = 41 x 1 + 25
We consider the new divisor 41 and the new remainder 25,and apply the division lemma to get
41 = 25 x 1 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 833 and 899 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(41,25) = HCF(66,41) = HCF(833,66) = HCF(899,833) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 319 > 1, we apply the division lemma to 319 and 1, to get
319 = 1 x 319 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 319 is 1
Notice that 1 = HCF(319,1) .
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Frequently Asked Questions on HCF of 833, 899, 319 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 833, 899, 319?
Answer: HCF of 833, 899, 319 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 833, 899, 319 using Euclid's Algorithm?
Answer: For arbitrary numbers 833, 899, 319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.