Highest Common Factor of 1464, 9322 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 1464, 9322 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1464, 9322 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 1464, 9322 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 1464, 9322 is 2.
HCF(1464, 9322) = 2
HCF of 1464, 9322 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1464, 9322 is 2.
Highest Common Factor of 1464,9322 is 2
Step 1: Since 9322 > 1464, we apply the division lemma to 9322 and 1464, to get
9322 = 1464 x 6 + 538
Step 2: Since the reminder 1464 ≠ 0, we apply division lemma to 538 and 1464, to get
1464 = 538 x 2 + 388
Step 3: We consider the new divisor 538 and the new remainder 388, and apply the division lemma to get
538 = 388 x 1 + 150
We consider the new divisor 388 and the new remainder 150,and apply the division lemma to get
388 = 150 x 2 + 88
We consider the new divisor 150 and the new remainder 88,and apply the division lemma to get
150 = 88 x 1 + 62
We consider the new divisor 88 and the new remainder 62,and apply the division lemma to get
88 = 62 x 1 + 26
We consider the new divisor 62 and the new remainder 26,and apply the division lemma to get
62 = 26 x 2 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 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 1464 and 9322 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(62,26) = HCF(88,62) = HCF(150,88) = HCF(388,150) = HCF(538,388) = HCF(1464,538) = HCF(9322,1464) .
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Frequently Asked Questions on HCF of 1464, 9322 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 1464, 9322?
Answer: HCF of 1464, 9322 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1464, 9322 using Euclid's Algorithm?
Answer: For arbitrary numbers 1464, 9322 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
