Highest Common Factor of 3110, 8161, 30225 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 3110, 8161, 30225 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3110, 8161, 30225 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 3110, 8161, 30225 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 3110, 8161, 30225 is 1.

HCF(3110, 8161, 30225) = 1

HCF of 3110, 8161, 30225 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 3110, 8161, 30225 is 1.

Highest Common Factor of 3110,8161,30225 using Euclid's algorithm

Highest Common Factor of 3110,8161,30225 is 1

Step 1: Since 8161 > 3110, we apply the division lemma to 8161 and 3110, to get

8161 = 3110 x 2 + 1941

Step 2: Since the reminder 3110 ≠ 0, we apply division lemma to 1941 and 3110, to get

3110 = 1941 x 1 + 1169

Step 3: We consider the new divisor 1941 and the new remainder 1169, and apply the division lemma to get

1941 = 1169 x 1 + 772

We consider the new divisor 1169 and the new remainder 772,and apply the division lemma to get

1169 = 772 x 1 + 397

We consider the new divisor 772 and the new remainder 397,and apply the division lemma to get

772 = 397 x 1 + 375

We consider the new divisor 397 and the new remainder 375,and apply the division lemma to get

397 = 375 x 1 + 22

We consider the new divisor 375 and the new remainder 22,and apply the division lemma to get

375 = 22 x 17 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3110 and 8161 is 1

Notice that 1 = HCF(22,1) = HCF(375,22) = HCF(397,375) = HCF(772,397) = HCF(1169,772) = HCF(1941,1169) = HCF(3110,1941) = HCF(8161,3110) .

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

Step 1: Since 30225 > 1, we apply the division lemma to 30225 and 1, to get

30225 = 1 x 30225 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30225 is 1

Notice that 1 = HCF(30225,1) .

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Frequently Asked Questions on HCF of 3110, 8161, 30225 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 3110, 8161, 30225?

Answer: HCF of 3110, 8161, 30225 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3110, 8161, 30225 using Euclid's Algorithm?

Answer: For arbitrary numbers 3110, 8161, 30225 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.