Highest Common Factor of 2064, 5591 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 2064, 5591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2064, 5591 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 2064, 5591 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 2064, 5591 is 1.
HCF(2064, 5591) = 1
HCF of 2064, 5591 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2064, 5591 is 1.
Highest Common Factor of 2064,5591 is 1
Step 1: Since 5591 > 2064, we apply the division lemma to 5591 and 2064, to get
5591 = 2064 x 2 + 1463
Step 2: Since the reminder 2064 ≠ 0, we apply division lemma to 1463 and 2064, to get
2064 = 1463 x 1 + 601
Step 3: We consider the new divisor 1463 and the new remainder 601, and apply the division lemma to get
1463 = 601 x 2 + 261
We consider the new divisor 601 and the new remainder 261,and apply the division lemma to get
601 = 261 x 2 + 79
We consider the new divisor 261 and the new remainder 79,and apply the division lemma to get
261 = 79 x 3 + 24
We consider the new divisor 79 and the new remainder 24,and apply the division lemma to get
79 = 24 x 3 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 2064 and 5591 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(79,24) = HCF(261,79) = HCF(601,261) = HCF(1463,601) = HCF(2064,1463) = HCF(5591,2064) .
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Frequently Asked Questions on HCF of 2064, 5591 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 2064, 5591?
Answer: HCF of 2064, 5591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2064, 5591 using Euclid's Algorithm?
Answer: For arbitrary numbers 2064, 5591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.