Highest Common Factor of 5069, 4679 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 5069, 4679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5069, 4679 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 5069, 4679 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 5069, 4679 is 1.
HCF(5069, 4679) = 1
HCF of 5069, 4679 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5069, 4679 is 1.
Highest Common Factor of 5069,4679 is 1
Step 1: Since 5069 > 4679, we apply the division lemma to 5069 and 4679, to get
5069 = 4679 x 1 + 390
Step 2: Since the reminder 4679 ≠ 0, we apply division lemma to 390 and 4679, to get
4679 = 390 x 11 + 389
Step 3: We consider the new divisor 390 and the new remainder 389, and apply the division lemma to get
390 = 389 x 1 + 1
We consider the new divisor 389 and the new remainder 1, and apply the division lemma to get
389 = 1 x 389 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5069 and 4679 is 1
Notice that 1 = HCF(389,1) = HCF(390,389) = HCF(4679,390) = HCF(5069,4679) .
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Frequently Asked Questions on HCF of 5069, 4679 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 5069, 4679?
Answer: HCF of 5069, 4679 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5069, 4679 using Euclid's Algorithm?
Answer: For arbitrary numbers 5069, 4679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
