Highest Common Factor of 9579, 3296 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 9579, 3296 i.e. 103 the largest integer that leaves a remainder zero for all numbers.
HCF of 9579, 3296 is 103 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 9579, 3296 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 9579, 3296 is 103.
HCF(9579, 3296) = 103
HCF of 9579, 3296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9579, 3296 is 103.
Highest Common Factor of 9579,3296 is 103
Step 1: Since 9579 > 3296, we apply the division lemma to 9579 and 3296, to get
9579 = 3296 x 2 + 2987
Step 2: Since the reminder 3296 ≠ 0, we apply division lemma to 2987 and 3296, to get
3296 = 2987 x 1 + 309
Step 3: We consider the new divisor 2987 and the new remainder 309, and apply the division lemma to get
2987 = 309 x 9 + 206
We consider the new divisor 309 and the new remainder 206,and apply the division lemma to get
309 = 206 x 1 + 103
We consider the new divisor 206 and the new remainder 103,and apply the division lemma to get
206 = 103 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 103, the HCF of 9579 and 3296 is 103
Notice that 103 = HCF(206,103) = HCF(309,206) = HCF(2987,309) = HCF(3296,2987) = HCF(9579,3296) .
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Frequently Asked Questions on HCF of 9579, 3296 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 9579, 3296?
Answer: HCF of 9579, 3296 is 103 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9579, 3296 using Euclid's Algorithm?
Answer: For arbitrary numbers 9579, 3296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.