Highest Common Factor of 937, 571, 873 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 937, 571, 873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 571, 873 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 937, 571, 873 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 937, 571, 873 is 1.

HCF(937, 571, 873) = 1

HCF of 937, 571, 873 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 937, 571, 873 is 1.

Highest Common Factor of 937,571,873 using Euclid's algorithm

Highest Common Factor of 937,571,873 is 1

Step 1: Since 937 > 571, we apply the division lemma to 937 and 571, to get

937 = 571 x 1 + 366

Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 366 and 571, to get

571 = 366 x 1 + 205

Step 3: We consider the new divisor 366 and the new remainder 205, and apply the division lemma to get

366 = 205 x 1 + 161

We consider the new divisor 205 and the new remainder 161,and apply the division lemma to get

205 = 161 x 1 + 44

We consider the new divisor 161 and the new remainder 44,and apply the division lemma to get

161 = 44 x 3 + 29

We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get

44 = 29 x 1 + 15

We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get

29 = 15 x 1 + 14

We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get

15 = 14 x 1 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 571 is 1

Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(161,44) = HCF(205,161) = HCF(366,205) = HCF(571,366) = HCF(937,571) .

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

Step 1: Since 873 > 1, we apply the division lemma to 873 and 1, to get

873 = 1 x 873 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 873 is 1

Notice that 1 = HCF(873,1) .

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Frequently Asked Questions on HCF of 937, 571, 873 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 937, 571, 873?

Answer: HCF of 937, 571, 873 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 571, 873 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 571, 873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.