Highest Common Factor of 8537, 6455 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 8537, 6455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8537, 6455 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 8537, 6455 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 8537, 6455 is 1.
HCF(8537, 6455) = 1
HCF of 8537, 6455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8537, 6455 is 1.
Highest Common Factor of 8537,6455 is 1
Step 1: Since 8537 > 6455, we apply the division lemma to 8537 and 6455, to get
8537 = 6455 x 1 + 2082
Step 2: Since the reminder 6455 ≠ 0, we apply division lemma to 2082 and 6455, to get
6455 = 2082 x 3 + 209
Step 3: We consider the new divisor 2082 and the new remainder 209, and apply the division lemma to get
2082 = 209 x 9 + 201
We consider the new divisor 209 and the new remainder 201,and apply the division lemma to get
209 = 201 x 1 + 8
We consider the new divisor 201 and the new remainder 8,and apply the division lemma to get
201 = 8 x 25 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8537 and 6455 is 1
Notice that 1 = HCF(8,1) = HCF(201,8) = HCF(209,201) = HCF(2082,209) = HCF(6455,2082) = HCF(8537,6455) .
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Frequently Asked Questions on HCF of 8537, 6455 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 8537, 6455?
Answer: HCF of 8537, 6455 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8537, 6455 using Euclid's Algorithm?
Answer: For arbitrary numbers 8537, 6455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.