Highest Common Factor of 4701, 3626 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 4701, 3626 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4701, 3626 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 4701, 3626 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 4701, 3626 is 1.
HCF(4701, 3626) = 1
HCF of 4701, 3626 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4701, 3626 is 1.
Highest Common Factor of 4701,3626 is 1
Step 1: Since 4701 > 3626, we apply the division lemma to 4701 and 3626, to get
4701 = 3626 x 1 + 1075
Step 2: Since the reminder 3626 ≠ 0, we apply division lemma to 1075 and 3626, to get
3626 = 1075 x 3 + 401
Step 3: We consider the new divisor 1075 and the new remainder 401, and apply the division lemma to get
1075 = 401 x 2 + 273
We consider the new divisor 401 and the new remainder 273,and apply the division lemma to get
401 = 273 x 1 + 128
We consider the new divisor 273 and the new remainder 128,and apply the division lemma to get
273 = 128 x 2 + 17
We consider the new divisor 128 and the new remainder 17,and apply the division lemma to get
128 = 17 x 7 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4701 and 3626 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(128,17) = HCF(273,128) = HCF(401,273) = HCF(1075,401) = HCF(3626,1075) = HCF(4701,3626) .
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Frequently Asked Questions on HCF of 4701, 3626 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 4701, 3626?
Answer: HCF of 4701, 3626 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4701, 3626 using Euclid's Algorithm?
Answer: For arbitrary numbers 4701, 3626 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.