Highest Common Factor of 621, 859 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 621, 859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 621, 859 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 621, 859 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 621, 859 is 1.
HCF(621, 859) = 1
HCF of 621, 859 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 621, 859 is 1.
Highest Common Factor of 621,859 is 1
Step 1: Since 859 > 621, we apply the division lemma to 859 and 621, to get
859 = 621 x 1 + 238
Step 2: Since the reminder 621 ≠ 0, we apply division lemma to 238 and 621, to get
621 = 238 x 2 + 145
Step 3: We consider the new divisor 238 and the new remainder 145, and apply the division lemma to get
238 = 145 x 1 + 93
We consider the new divisor 145 and the new remainder 93,and apply the division lemma to get
145 = 93 x 1 + 52
We consider the new divisor 93 and the new remainder 52,and apply the division lemma to get
93 = 52 x 1 + 41
We consider the new divisor 52 and the new remainder 41,and apply the division lemma to get
52 = 41 x 1 + 11
We consider the new divisor 41 and the new remainder 11,and apply the division lemma to get
41 = 11 x 3 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 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 621 and 859 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(41,11) = HCF(52,41) = HCF(93,52) = HCF(145,93) = HCF(238,145) = HCF(621,238) = HCF(859,621) .
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Frequently Asked Questions on HCF of 621, 859 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 621, 859?
Answer: HCF of 621, 859 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 621, 859 using Euclid's Algorithm?
Answer: For arbitrary numbers 621, 859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.