Highest Common Factor of 654, 353, 929, 392 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 654, 353, 929, 392 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 654, 353, 929, 392 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 654, 353, 929, 392 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 654, 353, 929, 392 is 1.

HCF(654, 353, 929, 392) = 1

HCF of 654, 353, 929, 392 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 654, 353, 929, 392 is 1.

Highest Common Factor of 654,353,929,392 using Euclid's algorithm

Highest Common Factor of 654,353,929,392 is 1

Step 1: Since 654 > 353, we apply the division lemma to 654 and 353, to get

654 = 353 x 1 + 301

Step 2: Since the reminder 353 ≠ 0, we apply division lemma to 301 and 353, to get

353 = 301 x 1 + 52

Step 3: We consider the new divisor 301 and the new remainder 52, and apply the division lemma to get

301 = 52 x 5 + 41

We consider the new divisor 52 and the new remainder 41,and apply the division lemma to get

52 = 41 x 1 + 11

We consider the new divisor 41 and the new remainder 11,and apply the division lemma to get

41 = 11 x 3 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 654 and 353 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(41,11) = HCF(52,41) = HCF(301,52) = HCF(353,301) = HCF(654,353) .

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

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

929 = 1 x 929 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 929 is 1

Notice that 1 = HCF(929,1) .

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

Step 1: Since 392 > 1, we apply the division lemma to 392 and 1, to get

392 = 1 x 392 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 392 is 1

Notice that 1 = HCF(392,1) .

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Frequently Asked Questions on HCF of 654, 353, 929, 392 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 654, 353, 929, 392?

Answer: HCF of 654, 353, 929, 392 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 654, 353, 929, 392 using Euclid's Algorithm?

Answer: For arbitrary numbers 654, 353, 929, 392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.