Highest Common Factor of 806, 634 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 806, 634 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 806, 634 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 806, 634 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 806, 634 is 2.
HCF(806, 634) = 2
HCF of 806, 634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 806, 634 is 2.
Highest Common Factor of 806,634 is 2
Step 1: Since 806 > 634, we apply the division lemma to 806 and 634, to get
806 = 634 x 1 + 172
Step 2: Since the reminder 634 ≠ 0, we apply division lemma to 172 and 634, to get
634 = 172 x 3 + 118
Step 3: We consider the new divisor 172 and the new remainder 118, and apply the division lemma to get
172 = 118 x 1 + 54
We consider the new divisor 118 and the new remainder 54,and apply the division lemma to get
118 = 54 x 2 + 10
We consider the new divisor 54 and the new remainder 10,and apply the division lemma to get
54 = 10 x 5 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 806 and 634 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(54,10) = HCF(118,54) = HCF(172,118) = HCF(634,172) = HCF(806,634) .
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Frequently Asked Questions on HCF of 806, 634 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 806, 634?
Answer: HCF of 806, 634 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 806, 634 using Euclid's Algorithm?
Answer: For arbitrary numbers 806, 634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.