Highest Common Factor of 588, 928, 989 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 588, 928, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 588, 928, 989 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 588, 928, 989 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 588, 928, 989 is 1.

HCF(588, 928, 989) = 1

HCF of 588, 928, 989 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 588, 928, 989 is 1.

Highest Common Factor of 588,928,989 using Euclid's algorithm

Highest Common Factor of 588,928,989 is 1

Step 1: Since 928 > 588, we apply the division lemma to 928 and 588, to get

928 = 588 x 1 + 340

Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 340 and 588, to get

588 = 340 x 1 + 248

Step 3: We consider the new divisor 340 and the new remainder 248, and apply the division lemma to get

340 = 248 x 1 + 92

We consider the new divisor 248 and the new remainder 92,and apply the division lemma to get

248 = 92 x 2 + 64

We consider the new divisor 92 and the new remainder 64,and apply the division lemma to get

92 = 64 x 1 + 28

We consider the new divisor 64 and the new remainder 28,and apply the division lemma to get

64 = 28 x 2 + 8

We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get

28 = 8 x 3 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 588 and 928 is 4

Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(64,28) = HCF(92,64) = HCF(248,92) = HCF(340,248) = HCF(588,340) = HCF(928,588) .

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

Step 1: Since 989 > 4, we apply the division lemma to 989 and 4, to get

989 = 4 x 247 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 989 is 1

Notice that 1 = HCF(4,1) = HCF(989,4) .

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Frequently Asked Questions on HCF of 588, 928, 989 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 588, 928, 989?

Answer: HCF of 588, 928, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 588, 928, 989 using Euclid's Algorithm?

Answer: For arbitrary numbers 588, 928, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.