Highest Common Factor of 929, 586, 72 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, 586, 72 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 929, 586, 72 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, 586, 72 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, 586, 72 is 1.

HCF(929, 586, 72) = 1

HCF of 929, 586, 72 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, 586, 72 is 1.

Highest Common Factor of 929,586,72 using Euclid's algorithm

Highest Common Factor of 929,586,72 is 1

Step 1: Since 929 > 586, we apply the division lemma to 929 and 586, to get

929 = 586 x 1 + 343

Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 343 and 586, to get

586 = 343 x 1 + 243

Step 3: We consider the new divisor 343 and the new remainder 243, and apply the division lemma to get

343 = 243 x 1 + 100

We consider the new divisor 243 and the new remainder 100,and apply the division lemma to get

243 = 100 x 2 + 43

We consider the new divisor 100 and the new remainder 43,and apply the division lemma to get

100 = 43 x 2 + 14

We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get

43 = 14 x 3 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 586 is 1

Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(100,43) = HCF(243,100) = HCF(343,243) = HCF(586,343) = HCF(929,586) .

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

Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get

72 = 1 x 72 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1

Notice that 1 = HCF(72,1) .

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Frequently Asked Questions on HCF of 929, 586, 72 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, 586, 72?

Answer: HCF of 929, 586, 72 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 929, 586, 72 using Euclid's Algorithm?

Answer: For arbitrary numbers 929, 586, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.