Highest Common Factor of 929, 361, 30 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 929, 361, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 929, 361, 30 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 929, 361, 30 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 929, 361, 30 is 1.

HCF(929, 361, 30) = 1

HCF of 929, 361, 30 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 929, 361, 30 is 1.

Highest Common Factor of 929,361,30 using Euclid's algorithm

Highest Common Factor of 929,361,30 is 1

Step 1: Since 929 > 361, we apply the division lemma to 929 and 361, to get

929 = 361 x 2 + 207

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 207 and 361, to get

361 = 207 x 1 + 154

Step 3: We consider the new divisor 207 and the new remainder 154, and apply the division lemma to get

207 = 154 x 1 + 53

We consider the new divisor 154 and the new remainder 53,and apply the division lemma to get

154 = 53 x 2 + 48

We consider the new divisor 53 and the new remainder 48,and apply the division lemma to get

53 = 48 x 1 + 5

We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get

48 = 5 x 9 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

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

3 = 2 x 1 + 1

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 929 and 361 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(53,48) = HCF(154,53) = HCF(207,154) = HCF(361,207) = HCF(929,361) .

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

Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1

Notice that 1 = HCF(30,1) .

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Frequently Asked Questions on HCF of 929, 361, 30 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 929, 361, 30?

Answer: HCF of 929, 361, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 929, 361, 30 using Euclid's Algorithm?

Answer: For arbitrary numbers 929, 361, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.