Highest Common Factor of 909, 675, 101, 523 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 909, 675, 101, 523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 909, 675, 101, 523 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 909, 675, 101, 523 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 909, 675, 101, 523 is 1.

HCF(909, 675, 101, 523) = 1

HCF of 909, 675, 101, 523 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 909, 675, 101, 523 is 1.

Highest Common Factor of 909,675,101,523 using Euclid's algorithm

Highest Common Factor of 909,675,101,523 is 1

Step 1: Since 909 > 675, we apply the division lemma to 909 and 675, to get

909 = 675 x 1 + 234

Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 234 and 675, to get

675 = 234 x 2 + 207

Step 3: We consider the new divisor 234 and the new remainder 207, and apply the division lemma to get

234 = 207 x 1 + 27

We consider the new divisor 207 and the new remainder 27,and apply the division lemma to get

207 = 27 x 7 + 18

We consider the new divisor 27 and the new remainder 18,and apply the division lemma to get

27 = 18 x 1 + 9

We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get

18 = 9 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 909 and 675 is 9

Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(207,27) = HCF(234,207) = HCF(675,234) = HCF(909,675) .


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

Step 1: Since 101 > 9, we apply the division lemma to 101 and 9, to get

101 = 9 x 11 + 2

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 2 and 9, to get

9 = 2 x 4 + 1

Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 101 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(101,9) .


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

Step 1: Since 523 > 1, we apply the division lemma to 523 and 1, to get

523 = 1 x 523 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 523 is 1

Notice that 1 = HCF(523,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 909, 675, 101, 523 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 909, 675, 101, 523?

Answer: HCF of 909, 675, 101, 523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 909, 675, 101, 523 using Euclid's Algorithm?

Answer: For arbitrary numbers 909, 675, 101, 523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.