Highest Common Factor of 599, 430 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 599, 430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 599, 430 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 599, 430 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 599, 430 is 1.
HCF(599, 430) = 1
HCF of 599, 430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 599, 430 is 1.
Highest Common Factor of 599,430 is 1
Step 1: Since 599 > 430, we apply the division lemma to 599 and 430, to get
599 = 430 x 1 + 169
Step 2: Since the reminder 430 ≠ 0, we apply division lemma to 169 and 430, to get
430 = 169 x 2 + 92
Step 3: We consider the new divisor 169 and the new remainder 92, and apply the division lemma to get
169 = 92 x 1 + 77
We consider the new divisor 92 and the new remainder 77,and apply the division lemma to get
92 = 77 x 1 + 15
We consider the new divisor 77 and the new remainder 15,and apply the division lemma to get
77 = 15 x 5 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 599 and 430 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(77,15) = HCF(92,77) = HCF(169,92) = HCF(430,169) = HCF(599,430) .
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Frequently Asked Questions on HCF of 599, 430 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 599, 430?
Answer: HCF of 599, 430 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 599, 430 using Euclid's Algorithm?
Answer: For arbitrary numbers 599, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.