Highest Common Factor of 9063, 3188 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 9063, 3188 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9063, 3188 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 9063, 3188 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 9063, 3188 is 1.
HCF(9063, 3188) = 1
HCF of 9063, 3188 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9063, 3188 is 1.
Highest Common Factor of 9063,3188 is 1
Step 1: Since 9063 > 3188, we apply the division lemma to 9063 and 3188, to get
9063 = 3188 x 2 + 2687
Step 2: Since the reminder 3188 ≠ 0, we apply division lemma to 2687 and 3188, to get
3188 = 2687 x 1 + 501
Step 3: We consider the new divisor 2687 and the new remainder 501, and apply the division lemma to get
2687 = 501 x 5 + 182
We consider the new divisor 501 and the new remainder 182,and apply the division lemma to get
501 = 182 x 2 + 137
We consider the new divisor 182 and the new remainder 137,and apply the division lemma to get
182 = 137 x 1 + 45
We consider the new divisor 137 and the new remainder 45,and apply the division lemma to get
137 = 45 x 3 + 2
We consider the new divisor 45 and the new remainder 2,and apply the division lemma to get
45 = 2 x 22 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9063 and 3188 is 1
Notice that 1 = HCF(2,1) = HCF(45,2) = HCF(137,45) = HCF(182,137) = HCF(501,182) = HCF(2687,501) = HCF(3188,2687) = HCF(9063,3188) .
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Frequently Asked Questions on HCF of 9063, 3188 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 9063, 3188?
Answer: HCF of 9063, 3188 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9063, 3188 using Euclid's Algorithm?
Answer: For arbitrary numbers 9063, 3188 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.