Highest Common Factor of 4603, 8051 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 4603, 8051 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4603, 8051 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 4603, 8051 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 4603, 8051 is 1.
HCF(4603, 8051) = 1
HCF of 4603, 8051 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4603, 8051 is 1.
Highest Common Factor of 4603,8051 is 1
Step 1: Since 8051 > 4603, we apply the division lemma to 8051 and 4603, to get
8051 = 4603 x 1 + 3448
Step 2: Since the reminder 4603 ≠ 0, we apply division lemma to 3448 and 4603, to get
4603 = 3448 x 1 + 1155
Step 3: We consider the new divisor 3448 and the new remainder 1155, and apply the division lemma to get
3448 = 1155 x 2 + 1138
We consider the new divisor 1155 and the new remainder 1138,and apply the division lemma to get
1155 = 1138 x 1 + 17
We consider the new divisor 1138 and the new remainder 17,and apply the division lemma to get
1138 = 17 x 66 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4603 and 8051 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(1138,17) = HCF(1155,1138) = HCF(3448,1155) = HCF(4603,3448) = HCF(8051,4603) .
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Frequently Asked Questions on HCF of 4603, 8051 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 4603, 8051?
Answer: HCF of 4603, 8051 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4603, 8051 using Euclid's Algorithm?
Answer: For arbitrary numbers 4603, 8051 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
