Highest Common Factor of 949, 589, 587 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 949, 589, 587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 949, 589, 587 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 949, 589, 587 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 949, 589, 587 is 1.

HCF(949, 589, 587) = 1

HCF of 949, 589, 587 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 949, 589, 587 is 1.

Highest Common Factor of 949,589,587 using Euclid's algorithm

Highest Common Factor of 949,589,587 is 1

Step 1: Since 949 > 589, we apply the division lemma to 949 and 589, to get

949 = 589 x 1 + 360

Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 360 and 589, to get

589 = 360 x 1 + 229

Step 3: We consider the new divisor 360 and the new remainder 229, and apply the division lemma to get

360 = 229 x 1 + 131

We consider the new divisor 229 and the new remainder 131,and apply the division lemma to get

229 = 131 x 1 + 98

We consider the new divisor 131 and the new remainder 98,and apply the division lemma to get

131 = 98 x 1 + 33

We consider the new divisor 98 and the new remainder 33,and apply the division lemma to get

98 = 33 x 2 + 32

We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get

33 = 32 x 1 + 1

We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get

32 = 1 x 32 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 949 and 589 is 1

Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(98,33) = HCF(131,98) = HCF(229,131) = HCF(360,229) = HCF(589,360) = HCF(949,589) .

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

Step 1: Since 587 > 1, we apply the division lemma to 587 and 1, to get

587 = 1 x 587 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 587 is 1

Notice that 1 = HCF(587,1) .

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Frequently Asked Questions on HCF of 949, 589, 587 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 949, 589, 587?

Answer: HCF of 949, 589, 587 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 949, 589, 587 using Euclid's Algorithm?

Answer: For arbitrary numbers 949, 589, 587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.