Highest Common Factor of 558, 947 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 558, 947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 558, 947 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 558, 947 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 558, 947 is 1.
HCF(558, 947) = 1
HCF of 558, 947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 558, 947 is 1.
Highest Common Factor of 558,947 is 1
Step 1: Since 947 > 558, we apply the division lemma to 947 and 558, to get
947 = 558 x 1 + 389
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 389 and 558, to get
558 = 389 x 1 + 169
Step 3: We consider the new divisor 389 and the new remainder 169, and apply the division lemma to get
389 = 169 x 2 + 51
We consider the new divisor 169 and the new remainder 51,and apply the division lemma to get
169 = 51 x 3 + 16
We consider the new divisor 51 and the new remainder 16,and apply the division lemma to get
51 = 16 x 3 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 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 558 and 947 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(51,16) = HCF(169,51) = HCF(389,169) = HCF(558,389) = HCF(947,558) .
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Frequently Asked Questions on HCF of 558, 947 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 558, 947?
Answer: HCF of 558, 947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 558, 947 using Euclid's Algorithm?
Answer: For arbitrary numbers 558, 947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.