Highest Common Factor of 6596, 3620 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 6596, 3620 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6596, 3620 is 4 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 6596, 3620 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 6596, 3620 is 4.
HCF(6596, 3620) = 4
HCF of 6596, 3620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6596, 3620 is 4.
Highest Common Factor of 6596,3620 is 4
Step 1: Since 6596 > 3620, we apply the division lemma to 6596 and 3620, to get
6596 = 3620 x 1 + 2976
Step 2: Since the reminder 3620 ≠ 0, we apply division lemma to 2976 and 3620, to get
3620 = 2976 x 1 + 644
Step 3: We consider the new divisor 2976 and the new remainder 644, and apply the division lemma to get
2976 = 644 x 4 + 400
We consider the new divisor 644 and the new remainder 400,and apply the division lemma to get
644 = 400 x 1 + 244
We consider the new divisor 400 and the new remainder 244,and apply the division lemma to get
400 = 244 x 1 + 156
We consider the new divisor 244 and the new remainder 156,and apply the division lemma to get
244 = 156 x 1 + 88
We consider the new divisor 156 and the new remainder 88,and apply the division lemma to get
156 = 88 x 1 + 68
We consider the new divisor 88 and the new remainder 68,and apply the division lemma to get
88 = 68 x 1 + 20
We consider the new divisor 68 and the new remainder 20,and apply the division lemma to get
68 = 20 x 3 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6596 and 3620 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(68,20) = HCF(88,68) = HCF(156,88) = HCF(244,156) = HCF(400,244) = HCF(644,400) = HCF(2976,644) = HCF(3620,2976) = HCF(6596,3620) .
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Frequently Asked Questions on HCF of 6596, 3620 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 6596, 3620?
Answer: HCF of 6596, 3620 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6596, 3620 using Euclid's Algorithm?
Answer: For arbitrary numbers 6596, 3620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.