Highest Common Factor of 889, 549, 870 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 889, 549, 870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 889, 549, 870 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 889, 549, 870 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 889, 549, 870 is 1.

HCF(889, 549, 870) = 1

HCF of 889, 549, 870 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 889, 549, 870 is 1.

Highest Common Factor of 889,549,870 using Euclid's algorithm

Highest Common Factor of 889,549,870 is 1

Step 1: Since 889 > 549, we apply the division lemma to 889 and 549, to get

889 = 549 x 1 + 340

Step 2: Since the reminder 549 ≠ 0, we apply division lemma to 340 and 549, to get

549 = 340 x 1 + 209

Step 3: We consider the new divisor 340 and the new remainder 209, and apply the division lemma to get

340 = 209 x 1 + 131

We consider the new divisor 209 and the new remainder 131,and apply the division lemma to get

209 = 131 x 1 + 78

We consider the new divisor 131 and the new remainder 78,and apply the division lemma to get

131 = 78 x 1 + 53

We consider the new divisor 78 and the new remainder 53,and apply the division lemma to get

78 = 53 x 1 + 25

We consider the new divisor 53 and the new remainder 25,and apply the division lemma to get

53 = 25 x 2 + 3

We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get

25 = 3 x 8 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 889 and 549 is 1

Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(53,25) = HCF(78,53) = HCF(131,78) = HCF(209,131) = HCF(340,209) = HCF(549,340) = HCF(889,549) .

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

Step 1: Since 870 > 1, we apply the division lemma to 870 and 1, to get

870 = 1 x 870 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 870 is 1

Notice that 1 = HCF(870,1) .

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Frequently Asked Questions on HCF of 889, 549, 870 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 889, 549, 870?

Answer: HCF of 889, 549, 870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 889, 549, 870 using Euclid's Algorithm?

Answer: For arbitrary numbers 889, 549, 870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.