Highest Common Factor of 596, 2827 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 596, 2827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 596, 2827 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 596, 2827 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 596, 2827 is 1.
HCF(596, 2827) = 1
HCF of 596, 2827 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 596, 2827 is 1.
Highest Common Factor of 596,2827 is 1
Step 1: Since 2827 > 596, we apply the division lemma to 2827 and 596, to get
2827 = 596 x 4 + 443
Step 2: Since the reminder 596 ≠ 0, we apply division lemma to 443 and 596, to get
596 = 443 x 1 + 153
Step 3: We consider the new divisor 443 and the new remainder 153, and apply the division lemma to get
443 = 153 x 2 + 137
We consider the new divisor 153 and the new remainder 137,and apply the division lemma to get
153 = 137 x 1 + 16
We consider the new divisor 137 and the new remainder 16,and apply the division lemma to get
137 = 16 x 8 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 596 and 2827 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(137,16) = HCF(153,137) = HCF(443,153) = HCF(596,443) = HCF(2827,596) .
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Frequently Asked Questions on HCF of 596, 2827 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 596, 2827?
Answer: HCF of 596, 2827 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 596, 2827 using Euclid's Algorithm?
Answer: For arbitrary numbers 596, 2827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.