Highest Common Factor of 8059, 1578 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 8059, 1578 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8059, 1578 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 8059, 1578 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 8059, 1578 is 1.
HCF(8059, 1578) = 1
HCF of 8059, 1578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8059, 1578 is 1.
Highest Common Factor of 8059,1578 is 1
Step 1: Since 8059 > 1578, we apply the division lemma to 8059 and 1578, to get
8059 = 1578 x 5 + 169
Step 2: Since the reminder 1578 ≠ 0, we apply division lemma to 169 and 1578, to get
1578 = 169 x 9 + 57
Step 3: We consider the new divisor 169 and the new remainder 57, and apply the division lemma to get
169 = 57 x 2 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 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 8059 and 1578 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(169,57) = HCF(1578,169) = HCF(8059,1578) .
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Frequently Asked Questions on HCF of 8059, 1578 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 8059, 1578?
Answer: HCF of 8059, 1578 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8059, 1578 using Euclid's Algorithm?
Answer: For arbitrary numbers 8059, 1578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.