Highest Common Factor of 549, 869 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 549, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 549, 869 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 549, 869 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 549, 869 is 1.
HCF(549, 869) = 1
HCF of 549, 869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 549, 869 is 1.
Highest Common Factor of 549,869 is 1
Step 1: Since 869 > 549, we apply the division lemma to 869 and 549, to get
869 = 549 x 1 + 320
Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 320 and 549, to get
549 = 320 x 1 + 229
Step 3: We consider the new divisor 320 and the new remainder 229, and apply the division lemma to get
320 = 229 x 1 + 91
We consider the new divisor 229 and the new remainder 91,and apply the division lemma to get
229 = 91 x 2 + 47
We consider the new divisor 91 and the new remainder 47,and apply the division lemma to get
91 = 47 x 1 + 44
We consider the new divisor 47 and the new remainder 44,and apply the division lemma to get
47 = 44 x 1 + 3
We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get
44 = 3 x 14 + 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 549 and 869 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(47,44) = HCF(91,47) = HCF(229,91) = HCF(320,229) = HCF(549,320) = HCF(869,549) .
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Frequently Asked Questions on HCF of 549, 869 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 549, 869?
Answer: HCF of 549, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 549, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 549, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
