Highest Common Factor of 3404, 1181 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 3404, 1181 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3404, 1181 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 3404, 1181 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 3404, 1181 is 1.
HCF(3404, 1181) = 1
HCF of 3404, 1181 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3404, 1181 is 1.
Highest Common Factor of 3404,1181 is 1
Step 1: Since 3404 > 1181, we apply the division lemma to 3404 and 1181, to get
3404 = 1181 x 2 + 1042
Step 2: Since the reminder 1181 ≠ 0, we apply division lemma to 1042 and 1181, to get
1181 = 1042 x 1 + 139
Step 3: We consider the new divisor 1042 and the new remainder 139, and apply the division lemma to get
1042 = 139 x 7 + 69
We consider the new divisor 139 and the new remainder 69,and apply the division lemma to get
139 = 69 x 2 + 1
We consider the new divisor 69 and the new remainder 1,and apply the division lemma to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3404 and 1181 is 1
Notice that 1 = HCF(69,1) = HCF(139,69) = HCF(1042,139) = HCF(1181,1042) = HCF(3404,1181) .
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Frequently Asked Questions on HCF of 3404, 1181 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 3404, 1181?
Answer: HCF of 3404, 1181 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3404, 1181 using Euclid's Algorithm?
Answer: For arbitrary numbers 3404, 1181 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.