Highest Common Factor of 4765, 1111 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 4765, 1111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4765, 1111 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 4765, 1111 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 4765, 1111 is 1.
HCF(4765, 1111) = 1
HCF of 4765, 1111 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4765, 1111 is 1.
Highest Common Factor of 4765,1111 is 1
Step 1: Since 4765 > 1111, we apply the division lemma to 4765 and 1111, to get
4765 = 1111 x 4 + 321
Step 2: Since the reminder 1111 ≠ 0, we apply division lemma to 321 and 1111, to get
1111 = 321 x 3 + 148
Step 3: We consider the new divisor 321 and the new remainder 148, and apply the division lemma to get
321 = 148 x 2 + 25
We consider the new divisor 148 and the new remainder 25,and apply the division lemma to get
148 = 25 x 5 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4765 and 1111 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(148,25) = HCF(321,148) = HCF(1111,321) = HCF(4765,1111) .
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Frequently Asked Questions on HCF of 4765, 1111 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 4765, 1111?
Answer: HCF of 4765, 1111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4765, 1111 using Euclid's Algorithm?
Answer: For arbitrary numbers 4765, 1111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.