Highest Common Factor of 693, 940, 422 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 693, 940, 422 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 693, 940, 422 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 693, 940, 422 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 693, 940, 422 is 1.

HCF(693, 940, 422) = 1

HCF of 693, 940, 422 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 693, 940, 422 is 1.

Highest Common Factor of 693,940,422 using Euclid's algorithm

Highest Common Factor of 693,940,422 is 1

Step 1: Since 940 > 693, we apply the division lemma to 940 and 693, to get

940 = 693 x 1 + 247

Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 247 and 693, to get

693 = 247 x 2 + 199

Step 3: We consider the new divisor 247 and the new remainder 199, and apply the division lemma to get

247 = 199 x 1 + 48

We consider the new divisor 199 and the new remainder 48,and apply the division lemma to get

199 = 48 x 4 + 7

We consider the new divisor 48 and the new remainder 7,and apply the division lemma to get

48 = 7 x 6 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 693 and 940 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(48,7) = HCF(199,48) = HCF(247,199) = HCF(693,247) = HCF(940,693) .

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

Step 1: Since 422 > 1, we apply the division lemma to 422 and 1, to get

422 = 1 x 422 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 422 is 1

Notice that 1 = HCF(422,1) .

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Frequently Asked Questions on HCF of 693, 940, 422 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 693, 940, 422?

Answer: HCF of 693, 940, 422 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 693, 940, 422 using Euclid's Algorithm?

Answer: For arbitrary numbers 693, 940, 422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.