Highest Common Factor of 404, 9096, 5311 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 404, 9096, 5311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 404, 9096, 5311 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 404, 9096, 5311 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 404, 9096, 5311 is 1.
HCF(404, 9096, 5311) = 1
HCF of 404, 9096, 5311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 404, 9096, 5311 is 1.
Highest Common Factor of 404,9096,5311 is 1
Step 1: Since 9096 > 404, we apply the division lemma to 9096 and 404, to get
9096 = 404 x 22 + 208
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 208 and 404, to get
404 = 208 x 1 + 196
Step 3: We consider the new divisor 208 and the new remainder 196, and apply the division lemma to get
208 = 196 x 1 + 12
We consider the new divisor 196 and the new remainder 12,and apply the division lemma to get
196 = 12 x 16 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 404 and 9096 is 4
Notice that 4 = HCF(12,4) = HCF(196,12) = HCF(208,196) = HCF(404,208) = HCF(9096,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5311 > 4, we apply the division lemma to 5311 and 4, to get
5311 = 4 x 1327 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 5311 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(5311,4) .
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Frequently Asked Questions on HCF of 404, 9096, 5311 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 404, 9096, 5311?
Answer: HCF of 404, 9096, 5311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 404, 9096, 5311 using Euclid's Algorithm?
Answer: For arbitrary numbers 404, 9096, 5311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.