Highest Common Factor of 834, 65786 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, 65786 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 834, 65786 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 834, 65786 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, 65786 is 2.
HCF(834, 65786) = 2
HCF of 834, 65786 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, 65786 is 2.
Highest Common Factor of 834,65786 is 2
Step 1: Since 65786 > 834, we apply the division lemma to 65786 and 834, to get
65786 = 834 x 78 + 734
Step 2: Since the reminder 834 ≠ 0, we apply division lemma to 734 and 834, to get
834 = 734 x 1 + 100
Step 3: We consider the new divisor 734 and the new remainder 100, and apply the division lemma to get
734 = 100 x 7 + 34
We consider the new divisor 100 and the new remainder 34,and apply the division lemma to get
100 = 34 x 2 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 834 and 65786 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(100,34) = HCF(734,100) = HCF(834,734) = HCF(65786,834) .
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Frequently Asked Questions on HCF of 834, 65786 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, 65786?
Answer: HCF of 834, 65786 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 834, 65786 using Euclid's Algorithm?
Answer: For arbitrary numbers 834, 65786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.