Highest Common Factor of 599, 370 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, 370 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 599, 370 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, 370 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, 370 is 1.
HCF(599, 370) = 1
HCF of 599, 370 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, 370 is 1.
Highest Common Factor of 599,370 is 1
Step 1: Since 599 > 370, we apply the division lemma to 599 and 370, to get
599 = 370 x 1 + 229
Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 229 and 370, to get
370 = 229 x 1 + 141
Step 3: We consider the new divisor 229 and the new remainder 141, and apply the division lemma to get
229 = 141 x 1 + 88
We consider the new divisor 141 and the new remainder 88,and apply the division lemma to get
141 = 88 x 1 + 53
We consider the new divisor 88 and the new remainder 53,and apply the division lemma to get
88 = 53 x 1 + 35
We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get
53 = 35 x 1 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 599 and 370 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(88,53) = HCF(141,88) = HCF(229,141) = HCF(370,229) = HCF(599,370) .
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Frequently Asked Questions on HCF of 599, 370 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, 370?
Answer: HCF of 599, 370 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 599, 370 using Euclid's Algorithm?
Answer: For arbitrary numbers 599, 370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.