Highest Common Factor of 889, 3292 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, 3292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 889, 3292 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, 3292 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, 3292 is 1.

HCF(889, 3292) = 1

HCF of 889, 3292 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, 3292 is 1.

Highest Common Factor of 889,3292 using Euclid's algorithm

Highest Common Factor of 889,3292 is 1

Step 1: Since 3292 > 889, we apply the division lemma to 3292 and 889, to get

3292 = 889 x 3 + 625

Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 625 and 889, to get

889 = 625 x 1 + 264

Step 3: We consider the new divisor 625 and the new remainder 264, and apply the division lemma to get

625 = 264 x 2 + 97

We consider the new divisor 264 and the new remainder 97,and apply the division lemma to get

264 = 97 x 2 + 70

We consider the new divisor 97 and the new remainder 70,and apply the division lemma to get

97 = 70 x 1 + 27

We consider the new divisor 70 and the new remainder 27,and apply the division lemma to get

70 = 27 x 2 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 889 and 3292 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(70,27) = HCF(97,70) = HCF(264,97) = HCF(625,264) = HCF(889,625) = HCF(3292,889) .

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Frequently Asked Questions on HCF of 889, 3292 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, 3292?

Answer: HCF of 889, 3292 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 889, 3292 using Euclid's Algorithm?

Answer: For arbitrary numbers 889, 3292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.