Highest Common Factor of 599, 438 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, 438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 599, 438 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, 438 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, 438 is 1.

HCF(599, 438) = 1

HCF of 599, 438 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 599, 438 is 1.

Highest Common Factor of 599,438 using Euclid's algorithm

Highest Common Factor of 599,438 is 1

Step 1: Since 599 > 438, we apply the division lemma to 599 and 438, to get

599 = 438 x 1 + 161

Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 161 and 438, to get

438 = 161 x 2 + 116

Step 3: We consider the new divisor 161 and the new remainder 116, and apply the division lemma to get

161 = 116 x 1 + 45

We consider the new divisor 116 and the new remainder 45,and apply the division lemma to get

116 = 45 x 2 + 26

We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get

45 = 26 x 1 + 19

We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get

26 = 19 x 1 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 438 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(116,45) = HCF(161,116) = HCF(438,161) = HCF(599,438) .

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Frequently Asked Questions on HCF of 599, 438 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, 438?

Answer: HCF of 599, 438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 599, 438 using Euclid's Algorithm?

Answer: For arbitrary numbers 599, 438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.