Highest Common Factor of 9621, 7574 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 9621, 7574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9621, 7574 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 9621, 7574 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 9621, 7574 is 1.
HCF(9621, 7574) = 1
HCF of 9621, 7574 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9621, 7574 is 1.
Highest Common Factor of 9621,7574 is 1
Step 1: Since 9621 > 7574, we apply the division lemma to 9621 and 7574, to get
9621 = 7574 x 1 + 2047
Step 2: Since the reminder 7574 ≠ 0, we apply division lemma to 2047 and 7574, to get
7574 = 2047 x 3 + 1433
Step 3: We consider the new divisor 2047 and the new remainder 1433, and apply the division lemma to get
2047 = 1433 x 1 + 614
We consider the new divisor 1433 and the new remainder 614,and apply the division lemma to get
1433 = 614 x 2 + 205
We consider the new divisor 614 and the new remainder 205,and apply the division lemma to get
614 = 205 x 2 + 204
We consider the new divisor 205 and the new remainder 204,and apply the division lemma to get
205 = 204 x 1 + 1
We consider the new divisor 204 and the new remainder 1,and apply the division lemma to get
204 = 1 x 204 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9621 and 7574 is 1
Notice that 1 = HCF(204,1) = HCF(205,204) = HCF(614,205) = HCF(1433,614) = HCF(2047,1433) = HCF(7574,2047) = HCF(9621,7574) .
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Frequently Asked Questions on HCF of 9621, 7574 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 9621, 7574?
Answer: HCF of 9621, 7574 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9621, 7574 using Euclid's Algorithm?
Answer: For arbitrary numbers 9621, 7574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.