Highest Common Factor of 559, 702, 367 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 559, 702, 367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 702, 367 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 559, 702, 367 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 559, 702, 367 is 1.
HCF(559, 702, 367) = 1
HCF of 559, 702, 367 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 559, 702, 367 is 1.
Highest Common Factor of 559,702,367 is 1
Step 1: Since 702 > 559, we apply the division lemma to 702 and 559, to get
702 = 559 x 1 + 143
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 143 and 559, to get
559 = 143 x 3 + 130
Step 3: We consider the new divisor 143 and the new remainder 130, and apply the division lemma to get
143 = 130 x 1 + 13
We consider the new divisor 130 and the new remainder 13, and apply the division lemma to get
130 = 13 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 559 and 702 is 13
Notice that 13 = HCF(130,13) = HCF(143,130) = HCF(559,143) = HCF(702,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 367 > 13, we apply the division lemma to 367 and 13, to get
367 = 13 x 28 + 3
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 3 and 13, to get
13 = 3 x 4 + 1
Step 3: 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 13 and 367 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(367,13) .
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Frequently Asked Questions on HCF of 559, 702, 367 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 559, 702, 367?
Answer: HCF of 559, 702, 367 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 702, 367 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 702, 367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
