Highest Common Factor of 4721, 3465 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 4721, 3465 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4721, 3465 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 4721, 3465 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 4721, 3465 is 1.
HCF(4721, 3465) = 1
HCF of 4721, 3465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4721, 3465 is 1.
Highest Common Factor of 4721,3465 is 1
Step 1: Since 4721 > 3465, we apply the division lemma to 4721 and 3465, to get
4721 = 3465 x 1 + 1256
Step 2: Since the reminder 3465 ≠ 0, we apply division lemma to 1256 and 3465, to get
3465 = 1256 x 2 + 953
Step 3: We consider the new divisor 1256 and the new remainder 953, and apply the division lemma to get
1256 = 953 x 1 + 303
We consider the new divisor 953 and the new remainder 303,and apply the division lemma to get
953 = 303 x 3 + 44
We consider the new divisor 303 and the new remainder 44,and apply the division lemma to get
303 = 44 x 6 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4721 and 3465 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(303,44) = HCF(953,303) = HCF(1256,953) = HCF(3465,1256) = HCF(4721,3465) .
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Frequently Asked Questions on HCF of 4721, 3465 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 4721, 3465?
Answer: HCF of 4721, 3465 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4721, 3465 using Euclid's Algorithm?
Answer: For arbitrary numbers 4721, 3465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.