Highest Common Factor of 9134, 6032 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 9134, 6032 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9134, 6032 is 2 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 9134, 6032 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 9134, 6032 is 2.
HCF(9134, 6032) = 2
HCF of 9134, 6032 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9134, 6032 is 2.
Highest Common Factor of 9134,6032 is 2
Step 1: Since 9134 > 6032, we apply the division lemma to 9134 and 6032, to get
9134 = 6032 x 1 + 3102
Step 2: Since the reminder 6032 ≠ 0, we apply division lemma to 3102 and 6032, to get
6032 = 3102 x 1 + 2930
Step 3: We consider the new divisor 3102 and the new remainder 2930, and apply the division lemma to get
3102 = 2930 x 1 + 172
We consider the new divisor 2930 and the new remainder 172,and apply the division lemma to get
2930 = 172 x 17 + 6
We consider the new divisor 172 and the new remainder 6,and apply the division lemma to get
172 = 6 x 28 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9134 and 6032 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(172,6) = HCF(2930,172) = HCF(3102,2930) = HCF(6032,3102) = HCF(9134,6032) .
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Frequently Asked Questions on HCF of 9134, 6032 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 9134, 6032?
Answer: HCF of 9134, 6032 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9134, 6032 using Euclid's Algorithm?
Answer: For arbitrary numbers 9134, 6032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.