Highest Common Factor of 492, 788, 162 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 492, 788, 162 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 492, 788, 162 is 2 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 492, 788, 162 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 492, 788, 162 is 2.

HCF(492, 788, 162) = 2

HCF of 492, 788, 162 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 492, 788, 162 is 2.

Highest Common Factor of 492,788,162 using Euclid's algorithm

Highest Common Factor of 492,788,162 is 2

Step 1: Since 788 > 492, we apply the division lemma to 788 and 492, to get

788 = 492 x 1 + 296

Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 296 and 492, to get

492 = 296 x 1 + 196

Step 3: We consider the new divisor 296 and the new remainder 196, and apply the division lemma to get

296 = 196 x 1 + 100

We consider the new divisor 196 and the new remainder 100,and apply the division lemma to get

196 = 100 x 1 + 96

We consider the new divisor 100 and the new remainder 96,and apply the division lemma to get

100 = 96 x 1 + 4

We consider the new divisor 96 and the new remainder 4,and apply the division lemma to get

96 = 4 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 492 and 788 is 4

Notice that 4 = HCF(96,4) = HCF(100,96) = HCF(196,100) = HCF(296,196) = HCF(492,296) = HCF(788,492) .

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

Step 1: Since 162 > 4, we apply the division lemma to 162 and 4, to get

162 = 4 x 40 + 2

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

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 162 is 2

Notice that 2 = HCF(4,2) = HCF(162,4) .

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Frequently Asked Questions on HCF of 492, 788, 162 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 492, 788, 162?

Answer: HCF of 492, 788, 162 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 492, 788, 162 using Euclid's Algorithm?

Answer: For arbitrary numbers 492, 788, 162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.