Highest Common Factor of 833, 543, 67 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, 543, 67 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 833, 543, 67 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, 543, 67 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, 543, 67 is 1.
HCF(833, 543, 67) = 1
HCF of 833, 543, 67 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, 543, 67 is 1.
Highest Common Factor of 833,543,67 is 1
Step 1: Since 833 > 543, we apply the division lemma to 833 and 543, to get
833 = 543 x 1 + 290
Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 290 and 543, to get
543 = 290 x 1 + 253
Step 3: We consider the new divisor 290 and the new remainder 253, and apply the division lemma to get
290 = 253 x 1 + 37
We consider the new divisor 253 and the new remainder 37,and apply the division lemma to get
253 = 37 x 6 + 31
We consider the new divisor 37 and the new remainder 31,and apply the division lemma to get
37 = 31 x 1 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 833 and 543 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(37,31) = HCF(253,37) = HCF(290,253) = HCF(543,290) = HCF(833,543) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 67 > 1, we apply the division lemma to 67 and 1, to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67 is 1
Notice that 1 = HCF(67,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 833, 543, 67 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, 543, 67?
Answer: HCF of 833, 543, 67 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 833, 543, 67 using Euclid's Algorithm?
Answer: For arbitrary numbers 833, 543, 67 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.