Highest Common Factor of 5663, 4646 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 5663, 4646 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5663, 4646 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 5663, 4646 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 5663, 4646 is 1.
HCF(5663, 4646) = 1
HCF of 5663, 4646 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5663, 4646 is 1.
Highest Common Factor of 5663,4646 is 1
Step 1: Since 5663 > 4646, we apply the division lemma to 5663 and 4646, to get
5663 = 4646 x 1 + 1017
Step 2: Since the reminder 4646 ≠ 0, we apply division lemma to 1017 and 4646, to get
4646 = 1017 x 4 + 578
Step 3: We consider the new divisor 1017 and the new remainder 578, and apply the division lemma to get
1017 = 578 x 1 + 439
We consider the new divisor 578 and the new remainder 439,and apply the division lemma to get
578 = 439 x 1 + 139
We consider the new divisor 439 and the new remainder 139,and apply the division lemma to get
439 = 139 x 3 + 22
We consider the new divisor 139 and the new remainder 22,and apply the division lemma to get
139 = 22 x 6 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5663 and 4646 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(139,22) = HCF(439,139) = HCF(578,439) = HCF(1017,578) = HCF(4646,1017) = HCF(5663,4646) .
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Frequently Asked Questions on HCF of 5663, 4646 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 5663, 4646?
Answer: HCF of 5663, 4646 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5663, 4646 using Euclid's Algorithm?
Answer: For arbitrary numbers 5663, 4646 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.