Highest Common Factor of 435, 8971 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 435, 8971 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 435, 8971 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 435, 8971 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 435, 8971 is 1.
HCF(435, 8971) = 1
HCF of 435, 8971 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 435, 8971 is 1.
Highest Common Factor of 435,8971 is 1
Step 1: Since 8971 > 435, we apply the division lemma to 8971 and 435, to get
8971 = 435 x 20 + 271
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 271 and 435, to get
435 = 271 x 1 + 164
Step 3: We consider the new divisor 271 and the new remainder 164, and apply the division lemma to get
271 = 164 x 1 + 107
We consider the new divisor 164 and the new remainder 107,and apply the division lemma to get
164 = 107 x 1 + 57
We consider the new divisor 107 and the new remainder 57,and apply the division lemma to get
107 = 57 x 1 + 50
We consider the new divisor 57 and the new remainder 50,and apply the division lemma to get
57 = 50 x 1 + 7
We consider the new divisor 50 and the new remainder 7,and apply the division lemma to get
50 = 7 x 7 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 435 and 8971 is 1
Notice that 1 = HCF(7,1) = HCF(50,7) = HCF(57,50) = HCF(107,57) = HCF(164,107) = HCF(271,164) = HCF(435,271) = HCF(8971,435) .
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Frequently Asked Questions on HCF of 435, 8971 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 435, 8971?
Answer: HCF of 435, 8971 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 435, 8971 using Euclid's Algorithm?
Answer: For arbitrary numbers 435, 8971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.