Highest Common Factor of 7323, 9557 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 7323, 9557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7323, 9557 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 7323, 9557 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 7323, 9557 is 1.
HCF(7323, 9557) = 1
HCF of 7323, 9557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7323, 9557 is 1.
Highest Common Factor of 7323,9557 is 1
Step 1: Since 9557 > 7323, we apply the division lemma to 9557 and 7323, to get
9557 = 7323 x 1 + 2234
Step 2: Since the reminder 7323 ≠ 0, we apply division lemma to 2234 and 7323, to get
7323 = 2234 x 3 + 621
Step 3: We consider the new divisor 2234 and the new remainder 621, and apply the division lemma to get
2234 = 621 x 3 + 371
We consider the new divisor 621 and the new remainder 371,and apply the division lemma to get
621 = 371 x 1 + 250
We consider the new divisor 371 and the new remainder 250,and apply the division lemma to get
371 = 250 x 1 + 121
We consider the new divisor 250 and the new remainder 121,and apply the division lemma to get
250 = 121 x 2 + 8
We consider the new divisor 121 and the new remainder 8,and apply the division lemma to get
121 = 8 x 15 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7323 and 9557 is 1
Notice that 1 = HCF(8,1) = HCF(121,8) = HCF(250,121) = HCF(371,250) = HCF(621,371) = HCF(2234,621) = HCF(7323,2234) = HCF(9557,7323) .
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Frequently Asked Questions on HCF of 7323, 9557 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 7323, 9557?
Answer: HCF of 7323, 9557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7323, 9557 using Euclid's Algorithm?
Answer: For arbitrary numbers 7323, 9557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.