Highest Common Factor of 946, 685, 943 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 946, 685, 943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 946, 685, 943 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 946, 685, 943 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 946, 685, 943 is 1.

HCF(946, 685, 943) = 1

HCF of 946, 685, 943 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 946, 685, 943 is 1.

Highest Common Factor of 946,685,943 using Euclid's algorithm

Highest Common Factor of 946,685,943 is 1

Step 1: Since 946 > 685, we apply the division lemma to 946 and 685, to get

946 = 685 x 1 + 261

Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 261 and 685, to get

685 = 261 x 2 + 163

Step 3: We consider the new divisor 261 and the new remainder 163, and apply the division lemma to get

261 = 163 x 1 + 98

We consider the new divisor 163 and the new remainder 98,and apply the division lemma to get

163 = 98 x 1 + 65

We consider the new divisor 98 and the new remainder 65,and apply the division lemma to get

98 = 65 x 1 + 33

We consider the new divisor 65 and the new remainder 33,and apply the division lemma to get

65 = 33 x 1 + 32

We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get

33 = 32 x 1 + 1

We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get

32 = 1 x 32 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 946 and 685 is 1

Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(65,33) = HCF(98,65) = HCF(163,98) = HCF(261,163) = HCF(685,261) = HCF(946,685) .

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

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

943 = 1 x 943 + 0

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

Notice that 1 = HCF(943,1) .

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Frequently Asked Questions on HCF of 946, 685, 943 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 946, 685, 943?

Answer: HCF of 946, 685, 943 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 946, 685, 943 using Euclid's Algorithm?

Answer: For arbitrary numbers 946, 685, 943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.