Highest Common Factor of 592, 380, 672 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 592, 380, 672 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 592, 380, 672 is 4 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 592, 380, 672 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 592, 380, 672 is 4.

HCF(592, 380, 672) = 4

HCF of 592, 380, 672 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 592, 380, 672 is 4.

Highest Common Factor of 592,380,672 using Euclid's algorithm

Highest Common Factor of 592,380,672 is 4

Step 1: Since 592 > 380, we apply the division lemma to 592 and 380, to get

592 = 380 x 1 + 212

Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 212 and 380, to get

380 = 212 x 1 + 168

Step 3: We consider the new divisor 212 and the new remainder 168, and apply the division lemma to get

212 = 168 x 1 + 44

We consider the new divisor 168 and the new remainder 44,and apply the division lemma to get

168 = 44 x 3 + 36

We consider the new divisor 44 and the new remainder 36,and apply the division lemma to get

44 = 36 x 1 + 8

We consider the new divisor 36 and the new remainder 8,and apply the division lemma to get

36 = 8 x 4 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 592 and 380 is 4

Notice that 4 = HCF(8,4) = HCF(36,8) = HCF(44,36) = HCF(168,44) = HCF(212,168) = HCF(380,212) = HCF(592,380) .

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

Step 1: Since 672 > 4, we apply the division lemma to 672 and 4, to get

672 = 4 x 168 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 672 is 4

Notice that 4 = HCF(672,4) .

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Frequently Asked Questions on HCF of 592, 380, 672 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 592, 380, 672?

Answer: HCF of 592, 380, 672 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 592, 380, 672 using Euclid's Algorithm?

Answer: For arbitrary numbers 592, 380, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.