Highest Common Factor of 9050, 1084, 61211 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 9050, 1084, 61211 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9050, 1084, 61211 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 9050, 1084, 61211 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 9050, 1084, 61211 is 1.

HCF(9050, 1084, 61211) = 1

HCF of 9050, 1084, 61211 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 9050, 1084, 61211 is 1.

Highest Common Factor of 9050,1084,61211 using Euclid's algorithm

Highest Common Factor of 9050,1084,61211 is 1

Step 1: Since 9050 > 1084, we apply the division lemma to 9050 and 1084, to get

9050 = 1084 x 8 + 378

Step 2: Since the reminder 1084 ≠ 0, we apply division lemma to 378 and 1084, to get

1084 = 378 x 2 + 328

Step 3: We consider the new divisor 378 and the new remainder 328, and apply the division lemma to get

378 = 328 x 1 + 50

We consider the new divisor 328 and the new remainder 50,and apply the division lemma to get

328 = 50 x 6 + 28

We consider the new divisor 50 and the new remainder 28,and apply the division lemma to get

50 = 28 x 1 + 22

We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get

28 = 22 x 1 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9050 and 1084 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(50,28) = HCF(328,50) = HCF(378,328) = HCF(1084,378) = HCF(9050,1084) .

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

Step 1: Since 61211 > 2, we apply the division lemma to 61211 and 2, to get

61211 = 2 x 30605 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 61211 is 1

Notice that 1 = HCF(2,1) = HCF(61211,2) .

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Frequently Asked Questions on HCF of 9050, 1084, 61211 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 9050, 1084, 61211?

Answer: HCF of 9050, 1084, 61211 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9050, 1084, 61211 using Euclid's Algorithm?

Answer: For arbitrary numbers 9050, 1084, 61211 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.