Highest Common Factor of 1761, 4701 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 1761, 4701 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1761, 4701 is 3 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 1761, 4701 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 1761, 4701 is 3.
HCF(1761, 4701) = 3
HCF of 1761, 4701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1761, 4701 is 3.
Highest Common Factor of 1761,4701 is 3
Step 1: Since 4701 > 1761, we apply the division lemma to 4701 and 1761, to get
4701 = 1761 x 2 + 1179
Step 2: Since the reminder 1761 ≠ 0, we apply division lemma to 1179 and 1761, to get
1761 = 1179 x 1 + 582
Step 3: We consider the new divisor 1179 and the new remainder 582, and apply the division lemma to get
1179 = 582 x 2 + 15
We consider the new divisor 582 and the new remainder 15,and apply the division lemma to get
582 = 15 x 38 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1761 and 4701 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(582,15) = HCF(1179,582) = HCF(1761,1179) = HCF(4701,1761) .
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Frequently Asked Questions on HCF of 1761, 4701 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 1761, 4701?
Answer: HCF of 1761, 4701 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1761, 4701 using Euclid's Algorithm?
Answer: For arbitrary numbers 1761, 4701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.