Highest Common Factor of 320, 524, 679 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 320, 524, 679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 320, 524, 679 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 320, 524, 679 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 320, 524, 679 is 1.

HCF(320, 524, 679) = 1

HCF of 320, 524, 679 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 320, 524, 679 is 1.

Highest Common Factor of 320,524,679 using Euclid's algorithm

Highest Common Factor of 320,524,679 is 1

Step 1: Since 524 > 320, we apply the division lemma to 524 and 320, to get

524 = 320 x 1 + 204

Step 2: Since the reminder 320 ≠ 0, we apply division lemma to 204 and 320, to get

320 = 204 x 1 + 116

Step 3: We consider the new divisor 204 and the new remainder 116, and apply the division lemma to get

204 = 116 x 1 + 88

We consider the new divisor 116 and the new remainder 88,and apply the division lemma to get

116 = 88 x 1 + 28

We consider the new divisor 88 and the new remainder 28,and apply the division lemma to get

88 = 28 x 3 + 4

We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get

28 = 4 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 320 and 524 is 4

Notice that 4 = HCF(28,4) = HCF(88,28) = HCF(116,88) = HCF(204,116) = HCF(320,204) = HCF(524,320) .

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

Step 1: Since 679 > 4, we apply the division lemma to 679 and 4, to get

679 = 4 x 169 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 679 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(679,4) .

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Frequently Asked Questions on HCF of 320, 524, 679 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 320, 524, 679?

Answer: HCF of 320, 524, 679 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 320, 524, 679 using Euclid's Algorithm?

Answer: For arbitrary numbers 320, 524, 679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.