Highest Common Factor of 9650, 3571 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 9650, 3571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9650, 3571 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 9650, 3571 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 9650, 3571 is 1.
HCF(9650, 3571) = 1
HCF of 9650, 3571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9650, 3571 is 1.
Highest Common Factor of 9650,3571 is 1
Step 1: Since 9650 > 3571, we apply the division lemma to 9650 and 3571, to get
9650 = 3571 x 2 + 2508
Step 2: Since the reminder 3571 ≠ 0, we apply division lemma to 2508 and 3571, to get
3571 = 2508 x 1 + 1063
Step 3: We consider the new divisor 2508 and the new remainder 1063, and apply the division lemma to get
2508 = 1063 x 2 + 382
We consider the new divisor 1063 and the new remainder 382,and apply the division lemma to get
1063 = 382 x 2 + 299
We consider the new divisor 382 and the new remainder 299,and apply the division lemma to get
382 = 299 x 1 + 83
We consider the new divisor 299 and the new remainder 83,and apply the division lemma to get
299 = 83 x 3 + 50
We consider the new divisor 83 and the new remainder 50,and apply the division lemma to get
83 = 50 x 1 + 33
We consider the new divisor 50 and the new remainder 33,and apply the division lemma to get
50 = 33 x 1 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9650 and 3571 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(50,33) = HCF(83,50) = HCF(299,83) = HCF(382,299) = HCF(1063,382) = HCF(2508,1063) = HCF(3571,2508) = HCF(9650,3571) .
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Frequently Asked Questions on HCF of 9650, 3571 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 9650, 3571?
Answer: HCF of 9650, 3571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9650, 3571 using Euclid's Algorithm?
Answer: For arbitrary numbers 9650, 3571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.