Highest Common Factor of 5679, 9595 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 5679, 9595 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5679, 9595 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 5679, 9595 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 5679, 9595 is 1.
HCF(5679, 9595) = 1
HCF of 5679, 9595 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5679, 9595 is 1.
Highest Common Factor of 5679,9595 is 1
Step 1: Since 9595 > 5679, we apply the division lemma to 9595 and 5679, to get
9595 = 5679 x 1 + 3916
Step 2: Since the reminder 5679 ≠ 0, we apply division lemma to 3916 and 5679, to get
5679 = 3916 x 1 + 1763
Step 3: We consider the new divisor 3916 and the new remainder 1763, and apply the division lemma to get
3916 = 1763 x 2 + 390
We consider the new divisor 1763 and the new remainder 390,and apply the division lemma to get
1763 = 390 x 4 + 203
We consider the new divisor 390 and the new remainder 203,and apply the division lemma to get
390 = 203 x 1 + 187
We consider the new divisor 203 and the new remainder 187,and apply the division lemma to get
203 = 187 x 1 + 16
We consider the new divisor 187 and the new remainder 16,and apply the division lemma to get
187 = 16 x 11 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5679 and 9595 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(187,16) = HCF(203,187) = HCF(390,203) = HCF(1763,390) = HCF(3916,1763) = HCF(5679,3916) = HCF(9595,5679) .
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Frequently Asked Questions on HCF of 5679, 9595 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 5679, 9595?
Answer: HCF of 5679, 9595 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5679, 9595 using Euclid's Algorithm?
Answer: For arbitrary numbers 5679, 9595 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.