Highest Common Factor of 559, 79218 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, 79218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 79218 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, 79218 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, 79218 is 1.
HCF(559, 79218) = 1
HCF of 559, 79218 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, 79218 is 1.
Highest Common Factor of 559,79218 is 1
Step 1: Since 79218 > 559, we apply the division lemma to 79218 and 559, to get
79218 = 559 x 141 + 399
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 399 and 559, to get
559 = 399 x 1 + 160
Step 3: We consider the new divisor 399 and the new remainder 160, and apply the division lemma to get
399 = 160 x 2 + 79
We consider the new divisor 160 and the new remainder 79,and apply the division lemma to get
160 = 79 x 2 + 2
We consider the new divisor 79 and the new remainder 2,and apply the division lemma to get
79 = 2 x 39 + 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 559 and 79218 is 1
Notice that 1 = HCF(2,1) = HCF(79,2) = HCF(160,79) = HCF(399,160) = HCF(559,399) = HCF(79218,559) .
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Frequently Asked Questions on HCF of 559, 79218 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, 79218?
Answer: HCF of 559, 79218 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 79218 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 79218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
