Highest Common Factor of 909, 546, 895 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, 546, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 909, 546, 895 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, 546, 895 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, 546, 895 is 1.

HCF(909, 546, 895) = 1

HCF of 909, 546, 895 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, 546, 895 is 1.

Highest Common Factor of 909,546,895 using Euclid's algorithm

Highest Common Factor of 909,546,895 is 1

Step 1: Since 909 > 546, we apply the division lemma to 909 and 546, to get

909 = 546 x 1 + 363

Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 363 and 546, to get

546 = 363 x 1 + 183

Step 3: We consider the new divisor 363 and the new remainder 183, and apply the division lemma to get

363 = 183 x 1 + 180

We consider the new divisor 183 and the new remainder 180,and apply the division lemma to get

183 = 180 x 1 + 3

We consider the new divisor 180 and the new remainder 3,and apply the division lemma to get

180 = 3 x 60 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 909 and 546 is 3

Notice that 3 = HCF(180,3) = HCF(183,180) = HCF(363,183) = HCF(546,363) = HCF(909,546) .

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

Step 1: Since 895 > 3, we apply the division lemma to 895 and 3, to get

895 = 3 x 298 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 895 is 1

Notice that 1 = HCF(3,1) = HCF(895,3) .

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Frequently Asked Questions on HCF of 909, 546, 895 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, 546, 895?

Answer: HCF of 909, 546, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 909, 546, 895 using Euclid's Algorithm?

Answer: For arbitrary numbers 909, 546, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.