Highest Common Factor of 4679, 2727 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 4679, 2727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4679, 2727 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 4679, 2727 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 4679, 2727 is 1.
HCF(4679, 2727) = 1
HCF of 4679, 2727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4679, 2727 is 1.
Highest Common Factor of 4679,2727 is 1
Step 1: Since 4679 > 2727, we apply the division lemma to 4679 and 2727, to get
4679 = 2727 x 1 + 1952
Step 2: Since the reminder 2727 ≠ 0, we apply division lemma to 1952 and 2727, to get
2727 = 1952 x 1 + 775
Step 3: We consider the new divisor 1952 and the new remainder 775, and apply the division lemma to get
1952 = 775 x 2 + 402
We consider the new divisor 775 and the new remainder 402,and apply the division lemma to get
775 = 402 x 1 + 373
We consider the new divisor 402 and the new remainder 373,and apply the division lemma to get
402 = 373 x 1 + 29
We consider the new divisor 373 and the new remainder 29,and apply the division lemma to get
373 = 29 x 12 + 25
We consider the new divisor 29 and the new remainder 25,and apply the division lemma to get
29 = 25 x 1 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 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 4679 and 2727 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(29,25) = HCF(373,29) = HCF(402,373) = HCF(775,402) = HCF(1952,775) = HCF(2727,1952) = HCF(4679,2727) .
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Frequently Asked Questions on HCF of 4679, 2727 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 4679, 2727?
Answer: HCF of 4679, 2727 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4679, 2727 using Euclid's Algorithm?
Answer: For arbitrary numbers 4679, 2727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
