Highest Common Factor of 9232, 3320 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 9232, 3320 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9232, 3320 is 8 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 9232, 3320 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 9232, 3320 is 8.
HCF(9232, 3320) = 8
HCF of 9232, 3320 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9232, 3320 is 8.
Highest Common Factor of 9232,3320 is 8
Step 1: Since 9232 > 3320, we apply the division lemma to 9232 and 3320, to get
9232 = 3320 x 2 + 2592
Step 2: Since the reminder 3320 ≠ 0, we apply division lemma to 2592 and 3320, to get
3320 = 2592 x 1 + 728
Step 3: We consider the new divisor 2592 and the new remainder 728, and apply the division lemma to get
2592 = 728 x 3 + 408
We consider the new divisor 728 and the new remainder 408,and apply the division lemma to get
728 = 408 x 1 + 320
We consider the new divisor 408 and the new remainder 320,and apply the division lemma to get
408 = 320 x 1 + 88
We consider the new divisor 320 and the new remainder 88,and apply the division lemma to get
320 = 88 x 3 + 56
We consider the new divisor 88 and the new remainder 56,and apply the division lemma to get
88 = 56 x 1 + 32
We consider the new divisor 56 and the new remainder 32,and apply the division lemma to get
56 = 32 x 1 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 9232 and 3320 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(56,32) = HCF(88,56) = HCF(320,88) = HCF(408,320) = HCF(728,408) = HCF(2592,728) = HCF(3320,2592) = HCF(9232,3320) .
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Frequently Asked Questions on HCF of 9232, 3320 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 9232, 3320?
Answer: HCF of 9232, 3320 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9232, 3320 using Euclid's Algorithm?
Answer: For arbitrary numbers 9232, 3320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.