Highest Common Factor of 940, 918, 817 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 940, 918, 817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 940, 918, 817 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 940, 918, 817 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 940, 918, 817 is 1.

HCF(940, 918, 817) = 1

HCF of 940, 918, 817 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 940, 918, 817 is 1.

Highest Common Factor of 940,918,817 using Euclid's algorithm

Highest Common Factor of 940,918,817 is 1

Step 1: Since 940 > 918, we apply the division lemma to 940 and 918, to get

940 = 918 x 1 + 22

Step 2: Since the reminder 918 ≠ 0, we apply division lemma to 22 and 918, to get

918 = 22 x 41 + 16

Step 3: We consider the new divisor 22 and the new remainder 16, and apply the division lemma to get

22 = 16 x 1 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 940 and 918 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(918,22) = HCF(940,918) .

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

Step 1: Since 817 > 2, we apply the division lemma to 817 and 2, to get

817 = 2 x 408 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 817 is 1

Notice that 1 = HCF(2,1) = HCF(817,2) .

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Frequently Asked Questions on HCF of 940, 918, 817 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 940, 918, 817?

Answer: HCF of 940, 918, 817 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 940, 918, 817 using Euclid's Algorithm?

Answer: For arbitrary numbers 940, 918, 817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.