Highest Common Factor of 236, 6786 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, 6786 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 236, 6786 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 236, 6786 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, 6786 is 2.
HCF(236, 6786) = 2
HCF of 236, 6786 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, 6786 is 2.
Highest Common Factor of 236,6786 is 2
Step 1: Since 6786 > 236, we apply the division lemma to 6786 and 236, to get
6786 = 236 x 28 + 178
Step 2: Since the reminder 236 ≠ 0, we apply division lemma to 178 and 236, to get
236 = 178 x 1 + 58
Step 3: We consider the new divisor 178 and the new remainder 58, and apply the division lemma to get
178 = 58 x 3 + 4
We consider the new divisor 58 and the new remainder 4,and apply the division lemma to get
58 = 4 x 14 + 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 236 and 6786 is 2
Notice that 2 = HCF(4,2) = HCF(58,4) = HCF(178,58) = HCF(236,178) = HCF(6786,236) .
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Frequently Asked Questions on HCF of 236, 6786 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, 6786?
Answer: HCF of 236, 6786 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 236, 6786 using Euclid's Algorithm?
Answer: For arbitrary numbers 236, 6786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.