Highest Common Factor of 943, 682, 775 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 943, 682, 775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 943, 682, 775 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 943, 682, 775 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 943, 682, 775 is 1.

HCF(943, 682, 775) = 1

HCF of 943, 682, 775 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 943, 682, 775 is 1.

Highest Common Factor of 943,682,775 using Euclid's algorithm

Highest Common Factor of 943,682,775 is 1

Step 1: Since 943 > 682, we apply the division lemma to 943 and 682, to get

943 = 682 x 1 + 261

Step 2: Since the reminder 682 ≠ 0, we apply division lemma to 261 and 682, to get

682 = 261 x 2 + 160

Step 3: We consider the new divisor 261 and the new remainder 160, and apply the division lemma to get

261 = 160 x 1 + 101

We consider the new divisor 160 and the new remainder 101,and apply the division lemma to get

160 = 101 x 1 + 59

We consider the new divisor 101 and the new remainder 59,and apply the division lemma to get

101 = 59 x 1 + 42

We consider the new divisor 59 and the new remainder 42,and apply the division lemma to get

59 = 42 x 1 + 17

We consider the new divisor 42 and the new remainder 17,and apply the division lemma to get

42 = 17 x 2 + 8

We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get

17 = 8 x 2 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 682 is 1

Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(42,17) = HCF(59,42) = HCF(101,59) = HCF(160,101) = HCF(261,160) = HCF(682,261) = HCF(943,682) .

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

Step 1: Since 775 > 1, we apply the division lemma to 775 and 1, to get

775 = 1 x 775 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 775 is 1

Notice that 1 = HCF(775,1) .

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Frequently Asked Questions on HCF of 943, 682, 775 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 943, 682, 775?

Answer: HCF of 943, 682, 775 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 943, 682, 775 using Euclid's Algorithm?

Answer: For arbitrary numbers 943, 682, 775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.