Highest Common Factor of 907, 537, 227 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 907, 537, 227 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 907, 537, 227 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 907, 537, 227 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 907, 537, 227 is 1.

HCF(907, 537, 227) = 1

HCF of 907, 537, 227 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 907, 537, 227 is 1.

Highest Common Factor of 907,537,227 using Euclid's algorithm

Highest Common Factor of 907,537,227 is 1

Step 1: Since 907 > 537, we apply the division lemma to 907 and 537, to get

907 = 537 x 1 + 370

Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 370 and 537, to get

537 = 370 x 1 + 167

Step 3: We consider the new divisor 370 and the new remainder 167, and apply the division lemma to get

370 = 167 x 2 + 36

We consider the new divisor 167 and the new remainder 36,and apply the division lemma to get

167 = 36 x 4 + 23

We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get

36 = 23 x 1 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 907 and 537 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(167,36) = HCF(370,167) = HCF(537,370) = HCF(907,537) .

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

Step 1: Since 227 > 1, we apply the division lemma to 227 and 1, to get

227 = 1 x 227 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 227 is 1

Notice that 1 = HCF(227,1) .

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Frequently Asked Questions on HCF of 907, 537, 227 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 907, 537, 227?

Answer: HCF of 907, 537, 227 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 907, 537, 227 using Euclid's Algorithm?

Answer: For arbitrary numbers 907, 537, 227 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.