Highest Common Factor of 871, 1588 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 871, 1588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 1588 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 871, 1588 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 871, 1588 is 1.
HCF(871, 1588) = 1
HCF of 871, 1588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 871, 1588 is 1.
Highest Common Factor of 871,1588 is 1
Step 1: Since 1588 > 871, we apply the division lemma to 1588 and 871, to get
1588 = 871 x 1 + 717
Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 717 and 871, to get
871 = 717 x 1 + 154
Step 3: We consider the new divisor 717 and the new remainder 154, and apply the division lemma to get
717 = 154 x 4 + 101
We consider the new divisor 154 and the new remainder 101,and apply the division lemma to get
154 = 101 x 1 + 53
We consider the new divisor 101 and the new remainder 53,and apply the division lemma to get
101 = 53 x 1 + 48
We consider the new divisor 53 and the new remainder 48,and apply the division lemma to get
53 = 48 x 1 + 5
We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get
48 = 5 x 9 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 1588 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(53,48) = HCF(101,53) = HCF(154,101) = HCF(717,154) = HCF(871,717) = HCF(1588,871) .
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Frequently Asked Questions on HCF of 871, 1588 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 871, 1588?
Answer: HCF of 871, 1588 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 1588 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 1588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.