Highest Common Factor of 867, 558, 430 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 867, 558, 430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 558, 430 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 867, 558, 430 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 867, 558, 430 is 1.
HCF(867, 558, 430) = 1
HCF of 867, 558, 430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 558, 430 is 1.
Highest Common Factor of 867,558,430 is 1
Step 1: Since 867 > 558, we apply the division lemma to 867 and 558, to get
867 = 558 x 1 + 309
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 309 and 558, to get
558 = 309 x 1 + 249
Step 3: We consider the new divisor 309 and the new remainder 249, and apply the division lemma to get
309 = 249 x 1 + 60
We consider the new divisor 249 and the new remainder 60,and apply the division lemma to get
249 = 60 x 4 + 9
We consider the new divisor 60 and the new remainder 9,and apply the division lemma to get
60 = 9 x 6 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 867 and 558 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(60,9) = HCF(249,60) = HCF(309,249) = HCF(558,309) = HCF(867,558) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 430 > 3, we apply the division lemma to 430 and 3, to get
430 = 3 x 143 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 430 is 1
Notice that 1 = HCF(3,1) = HCF(430,3) .
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Frequently Asked Questions on HCF of 867, 558, 430 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 867, 558, 430?
Answer: HCF of 867, 558, 430 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 558, 430 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 558, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.