Highest Common Factor of 8531, 1785 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 8531, 1785 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8531, 1785 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 8531, 1785 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 8531, 1785 is 1.
HCF(8531, 1785) = 1
HCF of 8531, 1785 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8531, 1785 is 1.
Highest Common Factor of 8531,1785 is 1
Step 1: Since 8531 > 1785, we apply the division lemma to 8531 and 1785, to get
8531 = 1785 x 4 + 1391
Step 2: Since the reminder 1785 ≠ 0, we apply division lemma to 1391 and 1785, to get
1785 = 1391 x 1 + 394
Step 3: We consider the new divisor 1391 and the new remainder 394, and apply the division lemma to get
1391 = 394 x 3 + 209
We consider the new divisor 394 and the new remainder 209,and apply the division lemma to get
394 = 209 x 1 + 185
We consider the new divisor 209 and the new remainder 185,and apply the division lemma to get
209 = 185 x 1 + 24
We consider the new divisor 185 and the new remainder 24,and apply the division lemma to get
185 = 24 x 7 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8531 and 1785 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(185,24) = HCF(209,185) = HCF(394,209) = HCF(1391,394) = HCF(1785,1391) = HCF(8531,1785) .
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Frequently Asked Questions on HCF of 8531, 1785 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 8531, 1785?
Answer: HCF of 8531, 1785 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8531, 1785 using Euclid's Algorithm?
Answer: For arbitrary numbers 8531, 1785 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.