Highest Common Factor of 8571, 4463 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 8571, 4463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8571, 4463 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 8571, 4463 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 8571, 4463 is 1.
HCF(8571, 4463) = 1
HCF of 8571, 4463 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8571, 4463 is 1.
Highest Common Factor of 8571,4463 is 1
Step 1: Since 8571 > 4463, we apply the division lemma to 8571 and 4463, to get
8571 = 4463 x 1 + 4108
Step 2: Since the reminder 4463 ≠ 0, we apply division lemma to 4108 and 4463, to get
4463 = 4108 x 1 + 355
Step 3: We consider the new divisor 4108 and the new remainder 355, and apply the division lemma to get
4108 = 355 x 11 + 203
We consider the new divisor 355 and the new remainder 203,and apply the division lemma to get
355 = 203 x 1 + 152
We consider the new divisor 203 and the new remainder 152,and apply the division lemma to get
203 = 152 x 1 + 51
We consider the new divisor 152 and the new remainder 51,and apply the division lemma to get
152 = 51 x 2 + 50
We consider the new divisor 51 and the new remainder 50,and apply the division lemma to get
51 = 50 x 1 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8571 and 4463 is 1
Notice that 1 = HCF(50,1) = HCF(51,50) = HCF(152,51) = HCF(203,152) = HCF(355,203) = HCF(4108,355) = HCF(4463,4108) = HCF(8571,4463) .
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Frequently Asked Questions on HCF of 8571, 4463 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 8571, 4463?
Answer: HCF of 8571, 4463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8571, 4463 using Euclid's Algorithm?
Answer: For arbitrary numbers 8571, 4463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
