Highest Common Factor of 601, 958, 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 601, 958, 989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 601, 958, 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 601, 958, 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 601, 958, 989 is 1.

HCF(601, 958, 989) = 1

HCF of 601, 958, 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 601, 958, 989 is 1.

Highest Common Factor of 601,958,989 using Euclid's algorithm

Highest Common Factor of 601,958,989 is 1

Step 1: Since 958 > 601, we apply the division lemma to 958 and 601, to get

958 = 601 x 1 + 357

Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 357 and 601, to get

601 = 357 x 1 + 244

Step 3: We consider the new divisor 357 and the new remainder 244, and apply the division lemma to get

357 = 244 x 1 + 113

We consider the new divisor 244 and the new remainder 113,and apply the division lemma to get

244 = 113 x 2 + 18

We consider the new divisor 113 and the new remainder 18,and apply the division lemma to get

113 = 18 x 6 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 601 and 958 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(113,18) = HCF(244,113) = HCF(357,244) = HCF(601,357) = HCF(958,601) .

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

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

989 = 1 x 989 + 0

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

Notice that 1 = HCF(989,1) .

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Frequently Asked Questions on HCF of 601, 958, 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 601, 958, 989?

Answer: HCF of 601, 958, 989 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 601, 958, 989 using Euclid's Algorithm?

Answer: For arbitrary numbers 601, 958, 989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.