Highest Common Factor of 512, 693, 430, 79 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 512, 693, 430, 79 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 512, 693, 430, 79 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 512, 693, 430, 79 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 512, 693, 430, 79 is 1.

HCF(512, 693, 430, 79) = 1

HCF of 512, 693, 430, 79 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 512, 693, 430, 79 is 1.

Highest Common Factor of 512,693,430,79 using Euclid's algorithm

Highest Common Factor of 512,693,430,79 is 1

Step 1: Since 693 > 512, we apply the division lemma to 693 and 512, to get

693 = 512 x 1 + 181

Step 2: Since the reminder 512 ≠ 0, we apply division lemma to 181 and 512, to get

512 = 181 x 2 + 150

Step 3: We consider the new divisor 181 and the new remainder 150, and apply the division lemma to get

181 = 150 x 1 + 31

We consider the new divisor 150 and the new remainder 31,and apply the division lemma to get

150 = 31 x 4 + 26

We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get

31 = 26 x 1 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 512 and 693 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(150,31) = HCF(181,150) = HCF(512,181) = HCF(693,512) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 430 > 1, we apply the division lemma to 430 and 1, to get

430 = 1 x 430 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 430 is 1

Notice that 1 = HCF(430,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 79 > 1, we apply the division lemma to 79 and 1, to get

79 = 1 x 79 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79 is 1

Notice that 1 = HCF(79,1) .

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Frequently Asked Questions on HCF of 512, 693, 430, 79 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 512, 693, 430, 79?

Answer: HCF of 512, 693, 430, 79 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 512, 693, 430, 79 using Euclid's Algorithm?

Answer: For arbitrary numbers 512, 693, 430, 79 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.