Highest Common Factor of 1604, 9141 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 1604, 9141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1604, 9141 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 1604, 9141 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 1604, 9141 is 1.
HCF(1604, 9141) = 1
HCF of 1604, 9141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1604, 9141 is 1.
Highest Common Factor of 1604,9141 is 1
Step 1: Since 9141 > 1604, we apply the division lemma to 9141 and 1604, to get
9141 = 1604 x 5 + 1121
Step 2: Since the reminder 1604 ≠ 0, we apply division lemma to 1121 and 1604, to get
1604 = 1121 x 1 + 483
Step 3: We consider the new divisor 1121 and the new remainder 483, and apply the division lemma to get
1121 = 483 x 2 + 155
We consider the new divisor 483 and the new remainder 155,and apply the division lemma to get
483 = 155 x 3 + 18
We consider the new divisor 155 and the new remainder 18,and apply the division lemma to get
155 = 18 x 8 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 1604 and 9141 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(155,18) = HCF(483,155) = HCF(1121,483) = HCF(1604,1121) = HCF(9141,1604) .
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Frequently Asked Questions on HCF of 1604, 9141 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 1604, 9141?
Answer: HCF of 1604, 9141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1604, 9141 using Euclid's Algorithm?
Answer: For arbitrary numbers 1604, 9141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.