Highest Common Factor of 893, 692, 198 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 893, 692, 198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 893, 692, 198 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 893, 692, 198 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 893, 692, 198 is 1.

HCF(893, 692, 198) = 1

HCF of 893, 692, 198 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 893, 692, 198 is 1.

Highest Common Factor of 893,692,198 using Euclid's algorithm

Highest Common Factor of 893,692,198 is 1

Step 1: Since 893 > 692, we apply the division lemma to 893 and 692, to get

893 = 692 x 1 + 201

Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 201 and 692, to get

692 = 201 x 3 + 89

Step 3: We consider the new divisor 201 and the new remainder 89, and apply the division lemma to get

201 = 89 x 2 + 23

We consider the new divisor 89 and the new remainder 23,and apply the division lemma to get

89 = 23 x 3 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 893 and 692 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(89,23) = HCF(201,89) = HCF(692,201) = HCF(893,692) .

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

Step 1: Since 198 > 1, we apply the division lemma to 198 and 1, to get

198 = 1 x 198 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 198 is 1

Notice that 1 = HCF(198,1) .

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Frequently Asked Questions on HCF of 893, 692, 198 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 893, 692, 198?

Answer: HCF of 893, 692, 198 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 893, 692, 198 using Euclid's Algorithm?

Answer: For arbitrary numbers 893, 692, 198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.