Highest Common Factor of 826, 687, 467, 840 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 826, 687, 467, 840 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 687, 467, 840 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 826, 687, 467, 840 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 826, 687, 467, 840 is 1.
HCF(826, 687, 467, 840) = 1
HCF of 826, 687, 467, 840 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 687, 467, 840 is 1.
Highest Common Factor of 826,687,467,840 is 1
Step 1: Since 826 > 687, we apply the division lemma to 826 and 687, to get
826 = 687 x 1 + 139
Step 2: Since the reminder 687 ≠ 0, we apply division lemma to 139 and 687, to get
687 = 139 x 4 + 131
Step 3: We consider the new divisor 139 and the new remainder 131, and apply the division lemma to get
139 = 131 x 1 + 8
We consider the new divisor 131 and the new remainder 8,and apply the division lemma to get
131 = 8 x 16 + 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 826 and 687 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(131,8) = HCF(139,131) = HCF(687,139) = HCF(826,687) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 467 > 1, we apply the division lemma to 467 and 1, to get
467 = 1 x 467 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 467 is 1
Notice that 1 = HCF(467,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 840 > 1, we apply the division lemma to 840 and 1, to get
840 = 1 x 840 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 840 is 1
Notice that 1 = HCF(840,1) .
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Frequently Asked Questions on HCF of 826, 687, 467, 840 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 826, 687, 467, 840?
Answer: HCF of 826, 687, 467, 840 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 687, 467, 840 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 687, 467, 840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.