Highest Common Factor of 473, 860, 392 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 473, 860, 392 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 473, 860, 392 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 473, 860, 392 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 473, 860, 392 is 1.

HCF(473, 860, 392) = 1

HCF of 473, 860, 392 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 473, 860, 392 is 1.

Highest Common Factor of 473,860,392 using Euclid's algorithm

Highest Common Factor of 473,860,392 is 1

Step 1: Since 860 > 473, we apply the division lemma to 860 and 473, to get

860 = 473 x 1 + 387

Step 2: Since the reminder 473 ≠ 0, we apply division lemma to 387 and 473, to get

473 = 387 x 1 + 86

Step 3: We consider the new divisor 387 and the new remainder 86, and apply the division lemma to get

387 = 86 x 4 + 43

We consider the new divisor 86 and the new remainder 43, and apply the division lemma to get

86 = 43 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 473 and 860 is 43

Notice that 43 = HCF(86,43) = HCF(387,86) = HCF(473,387) = HCF(860,473) .

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

Step 1: Since 392 > 43, we apply the division lemma to 392 and 43, to get

392 = 43 x 9 + 5

Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 5 and 43, to get

43 = 5 x 8 + 3

Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 43 and 392 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(43,5) = HCF(392,43) .

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Frequently Asked Questions on HCF of 473, 860, 392 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 473, 860, 392?

Answer: HCF of 473, 860, 392 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 473, 860, 392 using Euclid's Algorithm?

Answer: For arbitrary numbers 473, 860, 392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.