Highest Common Factor of 5691, 4619 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 5691, 4619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5691, 4619 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 5691, 4619 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 5691, 4619 is 1.
HCF(5691, 4619) = 1
HCF of 5691, 4619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5691, 4619 is 1.
Highest Common Factor of 5691,4619 is 1
Step 1: Since 5691 > 4619, we apply the division lemma to 5691 and 4619, to get
5691 = 4619 x 1 + 1072
Step 2: Since the reminder 4619 ≠ 0, we apply division lemma to 1072 and 4619, to get
4619 = 1072 x 4 + 331
Step 3: We consider the new divisor 1072 and the new remainder 331, and apply the division lemma to get
1072 = 331 x 3 + 79
We consider the new divisor 331 and the new remainder 79,and apply the division lemma to get
331 = 79 x 4 + 15
We consider the new divisor 79 and the new remainder 15,and apply the division lemma to get
79 = 15 x 5 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5691 and 4619 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(79,15) = HCF(331,79) = HCF(1072,331) = HCF(4619,1072) = HCF(5691,4619) .
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Frequently Asked Questions on HCF of 5691, 4619 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 5691, 4619?
Answer: HCF of 5691, 4619 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5691, 4619 using Euclid's Algorithm?
Answer: For arbitrary numbers 5691, 4619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.