Highest Common Factor of 331, 557 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 331, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 331, 557 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 331, 557 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 331, 557 is 1.
HCF(331, 557) = 1
HCF of 331, 557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 331, 557 is 1.
Highest Common Factor of 331,557 is 1
Step 1: Since 557 > 331, we apply the division lemma to 557 and 331, to get
557 = 331 x 1 + 226
Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 226 and 331, to get
331 = 226 x 1 + 105
Step 3: We consider the new divisor 226 and the new remainder 105, and apply the division lemma to get
226 = 105 x 2 + 16
We consider the new divisor 105 and the new remainder 16,and apply the division lemma to get
105 = 16 x 6 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 331 and 557 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(105,16) = HCF(226,105) = HCF(331,226) = HCF(557,331) .
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Frequently Asked Questions on HCF of 331, 557 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 331, 557?
Answer: HCF of 331, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 331, 557 using Euclid's Algorithm?
Answer: For arbitrary numbers 331, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.