Highest Common Factor of 848, 233, 206 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 848, 233, 206 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 848, 233, 206 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 848, 233, 206 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 848, 233, 206 is 1.
HCF(848, 233, 206) = 1
HCF of 848, 233, 206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 848, 233, 206 is 1.
Highest Common Factor of 848,233,206 is 1
Step 1: Since 848 > 233, we apply the division lemma to 848 and 233, to get
848 = 233 x 3 + 149
Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 149 and 233, to get
233 = 149 x 1 + 84
Step 3: We consider the new divisor 149 and the new remainder 84, and apply the division lemma to get
149 = 84 x 1 + 65
We consider the new divisor 84 and the new remainder 65,and apply the division lemma to get
84 = 65 x 1 + 19
We consider the new divisor 65 and the new remainder 19,and apply the division lemma to get
65 = 19 x 3 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 848 and 233 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(65,19) = HCF(84,65) = HCF(149,84) = HCF(233,149) = HCF(848,233) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 206 > 1, we apply the division lemma to 206 and 1, to get
206 = 1 x 206 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 206 is 1
Notice that 1 = HCF(206,1) .
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Frequently Asked Questions on HCF of 848, 233, 206 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 848, 233, 206?
Answer: HCF of 848, 233, 206 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 848, 233, 206 using Euclid's Algorithm?
Answer: For arbitrary numbers 848, 233, 206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.