Highest Common Factor of 236, 877, 61 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, 877, 61 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 236, 877, 61 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, 877, 61 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, 877, 61 is 1.
HCF(236, 877, 61) = 1
HCF of 236, 877, 61 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, 877, 61 is 1.
Highest Common Factor of 236,877,61 is 1
Step 1: Since 877 > 236, we apply the division lemma to 877 and 236, to get
877 = 236 x 3 + 169
Step 2: Since the reminder 236 ≠ 0, we apply division lemma to 169 and 236, to get
236 = 169 x 1 + 67
Step 3: We consider the new divisor 169 and the new remainder 67, and apply the division lemma to get
169 = 67 x 2 + 35
We consider the new divisor 67 and the new remainder 35,and apply the division lemma to get
67 = 35 x 1 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 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 236 and 877 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(67,35) = HCF(169,67) = HCF(236,169) = HCF(877,236) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 61 > 1, we apply the division lemma to 61 and 1, to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61 is 1
Notice that 1 = HCF(61,1) .
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Frequently Asked Questions on HCF of 236, 877, 61 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, 877, 61?
Answer: HCF of 236, 877, 61 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 236, 877, 61 using Euclid's Algorithm?
Answer: For arbitrary numbers 236, 877, 61 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.