Highest Common Factor of 834, 676, 531 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 834, 676, 531 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 834, 676, 531 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 834, 676, 531 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 834, 676, 531 is 1.
HCF(834, 676, 531) = 1
HCF of 834, 676, 531 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 834, 676, 531 is 1.
Highest Common Factor of 834,676,531 is 1
Step 1: Since 834 > 676, we apply the division lemma to 834 and 676, to get
834 = 676 x 1 + 158
Step 2: Since the reminder 676 ≠ 0, we apply division lemma to 158 and 676, to get
676 = 158 x 4 + 44
Step 3: We consider the new divisor 158 and the new remainder 44, and apply the division lemma to get
158 = 44 x 3 + 26
We consider the new divisor 44 and the new remainder 26,and apply the division lemma to get
44 = 26 x 1 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 834 and 676 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(44,26) = HCF(158,44) = HCF(676,158) = HCF(834,676) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 531 > 2, we apply the division lemma to 531 and 2, to get
531 = 2 x 265 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 531 is 1
Notice that 1 = HCF(2,1) = HCF(531,2) .
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Frequently Asked Questions on HCF of 834, 676, 531 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 834, 676, 531?
Answer: HCF of 834, 676, 531 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 834, 676, 531 using Euclid's Algorithm?
Answer: For arbitrary numbers 834, 676, 531 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.