Highest Common Factor of 5607, 3896 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 5607, 3896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5607, 3896 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 5607, 3896 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 5607, 3896 is 1.
HCF(5607, 3896) = 1
HCF of 5607, 3896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5607, 3896 is 1.
Highest Common Factor of 5607,3896 is 1
Step 1: Since 5607 > 3896, we apply the division lemma to 5607 and 3896, to get
5607 = 3896 x 1 + 1711
Step 2: Since the reminder 3896 ≠ 0, we apply division lemma to 1711 and 3896, to get
3896 = 1711 x 2 + 474
Step 3: We consider the new divisor 1711 and the new remainder 474, and apply the division lemma to get
1711 = 474 x 3 + 289
We consider the new divisor 474 and the new remainder 289,and apply the division lemma to get
474 = 289 x 1 + 185
We consider the new divisor 289 and the new remainder 185,and apply the division lemma to get
289 = 185 x 1 + 104
We consider the new divisor 185 and the new remainder 104,and apply the division lemma to get
185 = 104 x 1 + 81
We consider the new divisor 104 and the new remainder 81,and apply the division lemma to get
104 = 81 x 1 + 23
We consider the new divisor 81 and the new remainder 23,and apply the division lemma to get
81 = 23 x 3 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5607 and 3896 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(81,23) = HCF(104,81) = HCF(185,104) = HCF(289,185) = HCF(474,289) = HCF(1711,474) = HCF(3896,1711) = HCF(5607,3896) .
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Frequently Asked Questions on HCF of 5607, 3896 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 5607, 3896?
Answer: HCF of 5607, 3896 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5607, 3896 using Euclid's Algorithm?
Answer: For arbitrary numbers 5607, 3896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.