Highest Common Factor of 5326, 834 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 5326, 834 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5326, 834 is 2 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 5326, 834 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 5326, 834 is 2.
HCF(5326, 834) = 2
HCF of 5326, 834 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5326, 834 is 2.
Highest Common Factor of 5326,834 is 2
Step 1: Since 5326 > 834, we apply the division lemma to 5326 and 834, to get
5326 = 834 x 6 + 322
Step 2: Since the reminder 834 ≠ 0, we apply division lemma to 322 and 834, to get
834 = 322 x 2 + 190
Step 3: We consider the new divisor 322 and the new remainder 190, and apply the division lemma to get
322 = 190 x 1 + 132
We consider the new divisor 190 and the new remainder 132,and apply the division lemma to get
190 = 132 x 1 + 58
We consider the new divisor 132 and the new remainder 58,and apply the division lemma to get
132 = 58 x 2 + 16
We consider the new divisor 58 and the new remainder 16,and apply the division lemma to get
58 = 16 x 3 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5326 and 834 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(58,16) = HCF(132,58) = HCF(190,132) = HCF(322,190) = HCF(834,322) = HCF(5326,834) .
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Frequently Asked Questions on HCF of 5326, 834 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 5326, 834?
Answer: HCF of 5326, 834 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5326, 834 using Euclid's Algorithm?
Answer: For arbitrary numbers 5326, 834 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.