Highest Common Factor of 351, 559 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 351, 559 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 351, 559 is 13 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 351, 559 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 351, 559 is 13.
HCF(351, 559) = 13
HCF of 351, 559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 351, 559 is 13.
Highest Common Factor of 351,559 is 13
Step 1: Since 559 > 351, we apply the division lemma to 559 and 351, to get
559 = 351 x 1 + 208
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 208 and 351, to get
351 = 208 x 1 + 143
Step 3: We consider the new divisor 208 and the new remainder 143, and apply the division lemma to get
208 = 143 x 1 + 65
We consider the new divisor 143 and the new remainder 65,and apply the division lemma to get
143 = 65 x 2 + 13
We consider the new divisor 65 and the new remainder 13,and apply the division lemma to get
65 = 13 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 351 and 559 is 13
Notice that 13 = HCF(65,13) = HCF(143,65) = HCF(208,143) = HCF(351,208) = HCF(559,351) .
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Frequently Asked Questions on HCF of 351, 559 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 351, 559?
Answer: HCF of 351, 559 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 351, 559 using Euclid's Algorithm?
Answer: For arbitrary numbers 351, 559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.