Highest Common Factor of 236, 524, 809, 886 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 236, 524, 809, 886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 236, 524, 809, 886 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 236, 524, 809, 886 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 236, 524, 809, 886 is 1.
HCF(236, 524, 809, 886) = 1
HCF of 236, 524, 809, 886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 236, 524, 809, 886 is 1.
Highest Common Factor of 236,524,809,886 is 1
Step 1: Since 524 > 236, we apply the division lemma to 524 and 236, to get
524 = 236 x 2 + 52
Step 2: Since the reminder 236 ≠ 0, we apply division lemma to 52 and 236, to get
236 = 52 x 4 + 28
Step 3: We consider the new divisor 52 and the new remainder 28, and apply the division lemma to get
52 = 28 x 1 + 24
We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get
28 = 24 x 1 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 236 and 524 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(52,28) = HCF(236,52) = HCF(524,236) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 809 > 4, we apply the division lemma to 809 and 4, to get
809 = 4 x 202 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 809 is 1
Notice that 1 = HCF(4,1) = HCF(809,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 886 > 1, we apply the division lemma to 886 and 1, to get
886 = 1 x 886 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 886 is 1
Notice that 1 = HCF(886,1) .
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Frequently Asked Questions on HCF of 236, 524, 809, 886 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 236, 524, 809, 886?
Answer: HCF of 236, 524, 809, 886 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 236, 524, 809, 886 using Euclid's Algorithm?
Answer: For arbitrary numbers 236, 524, 809, 886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.