Highest Common Factor of 9181, 2404 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 9181, 2404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9181, 2404 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 9181, 2404 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 9181, 2404 is 1.
HCF(9181, 2404) = 1
HCF of 9181, 2404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9181, 2404 is 1.
Highest Common Factor of 9181,2404 is 1
Step 1: Since 9181 > 2404, we apply the division lemma to 9181 and 2404, to get
9181 = 2404 x 3 + 1969
Step 2: Since the reminder 2404 ≠ 0, we apply division lemma to 1969 and 2404, to get
2404 = 1969 x 1 + 435
Step 3: We consider the new divisor 1969 and the new remainder 435, and apply the division lemma to get
1969 = 435 x 4 + 229
We consider the new divisor 435 and the new remainder 229,and apply the division lemma to get
435 = 229 x 1 + 206
We consider the new divisor 229 and the new remainder 206,and apply the division lemma to get
229 = 206 x 1 + 23
We consider the new divisor 206 and the new remainder 23,and apply the division lemma to get
206 = 23 x 8 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9181 and 2404 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(206,23) = HCF(229,206) = HCF(435,229) = HCF(1969,435) = HCF(2404,1969) = HCF(9181,2404) .
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Frequently Asked Questions on HCF of 9181, 2404 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 9181, 2404?
Answer: HCF of 9181, 2404 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9181, 2404 using Euclid's Algorithm?
Answer: For arbitrary numbers 9181, 2404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.