Highest Common Factor of 3183, 9188 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 3183, 9188 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3183, 9188 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 3183, 9188 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 3183, 9188 is 1.
HCF(3183, 9188) = 1
HCF of 3183, 9188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3183, 9188 is 1.
Highest Common Factor of 3183,9188 is 1
Step 1: Since 9188 > 3183, we apply the division lemma to 9188 and 3183, to get
9188 = 3183 x 2 + 2822
Step 2: Since the reminder 3183 ≠ 0, we apply division lemma to 2822 and 3183, to get
3183 = 2822 x 1 + 361
Step 3: We consider the new divisor 2822 and the new remainder 361, and apply the division lemma to get
2822 = 361 x 7 + 295
We consider the new divisor 361 and the new remainder 295,and apply the division lemma to get
361 = 295 x 1 + 66
We consider the new divisor 295 and the new remainder 66,and apply the division lemma to get
295 = 66 x 4 + 31
We consider the new divisor 66 and the new remainder 31,and apply the division lemma to get
66 = 31 x 2 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 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 3183 and 9188 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(66,31) = HCF(295,66) = HCF(361,295) = HCF(2822,361) = HCF(3183,2822) = HCF(9188,3183) .
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Frequently Asked Questions on HCF of 3183, 9188 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 3183, 9188?
Answer: HCF of 3183, 9188 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3183, 9188 using Euclid's Algorithm?
Answer: For arbitrary numbers 3183, 9188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
