Highest Common Factor of 966, 673, 813, 46 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 966, 673, 813, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 966, 673, 813, 46 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 966, 673, 813, 46 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 966, 673, 813, 46 is 1.

HCF(966, 673, 813, 46) = 1

HCF of 966, 673, 813, 46 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 966, 673, 813, 46 is 1.

Highest Common Factor of 966,673,813,46 using Euclid's algorithm

Highest Common Factor of 966,673,813,46 is 1

Step 1: Since 966 > 673, we apply the division lemma to 966 and 673, to get

966 = 673 x 1 + 293

Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 293 and 673, to get

673 = 293 x 2 + 87

Step 3: We consider the new divisor 293 and the new remainder 87, and apply the division lemma to get

293 = 87 x 3 + 32

We consider the new divisor 87 and the new remainder 32,and apply the division lemma to get

87 = 32 x 2 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 966 and 673 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(87,32) = HCF(293,87) = HCF(673,293) = HCF(966,673) .

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

Step 1: Since 813 > 1, we apply the division lemma to 813 and 1, to get

813 = 1 x 813 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 813 is 1

Notice that 1 = HCF(813,1) .

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

Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get

46 = 1 x 46 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1

Notice that 1 = HCF(46,1) .

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Frequently Asked Questions on HCF of 966, 673, 813, 46 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 966, 673, 813, 46?

Answer: HCF of 966, 673, 813, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 966, 673, 813, 46 using Euclid's Algorithm?

Answer: For arbitrary numbers 966, 673, 813, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.