Highest Common Factor of 759, 4669 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 759, 4669 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 759, 4669 is 23 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 759, 4669 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 759, 4669 is 23.
HCF(759, 4669) = 23
HCF of 759, 4669 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 759, 4669 is 23.
Highest Common Factor of 759,4669 is 23
Step 1: Since 4669 > 759, we apply the division lemma to 4669 and 759, to get
4669 = 759 x 6 + 115
Step 2: Since the reminder 759 ≠ 0, we apply division lemma to 115 and 759, to get
759 = 115 x 6 + 69
Step 3: We consider the new divisor 115 and the new remainder 69, and apply the division lemma to get
115 = 69 x 1 + 46
We consider the new divisor 69 and the new remainder 46,and apply the division lemma to get
69 = 46 x 1 + 23
We consider the new divisor 46 and the new remainder 23,and apply the division lemma to get
46 = 23 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 759 and 4669 is 23
Notice that 23 = HCF(46,23) = HCF(69,46) = HCF(115,69) = HCF(759,115) = HCF(4669,759) .
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Frequently Asked Questions on HCF of 759, 4669 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 759, 4669?
Answer: HCF of 759, 4669 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 759, 4669 using Euclid's Algorithm?
Answer: For arbitrary numbers 759, 4669 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.