Highest Common Factor of 1322, 7609 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 1322, 7609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1322, 7609 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 1322, 7609 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 1322, 7609 is 1.
HCF(1322, 7609) = 1
HCF of 1322, 7609 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1322, 7609 is 1.
Highest Common Factor of 1322,7609 is 1
Step 1: Since 7609 > 1322, we apply the division lemma to 7609 and 1322, to get
7609 = 1322 x 5 + 999
Step 2: Since the reminder 1322 ≠ 0, we apply division lemma to 999 and 1322, to get
1322 = 999 x 1 + 323
Step 3: We consider the new divisor 999 and the new remainder 323, and apply the division lemma to get
999 = 323 x 3 + 30
We consider the new divisor 323 and the new remainder 30,and apply the division lemma to get
323 = 30 x 10 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 1322 and 7609 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(323,30) = HCF(999,323) = HCF(1322,999) = HCF(7609,1322) .
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Frequently Asked Questions on HCF of 1322, 7609 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 1322, 7609?
Answer: HCF of 1322, 7609 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1322, 7609 using Euclid's Algorithm?
Answer: For arbitrary numbers 1322, 7609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.