Highest Common Factor of 881, 646, 689 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 881, 646, 689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 881, 646, 689 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 881, 646, 689 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 881, 646, 689 is 1.

HCF(881, 646, 689) = 1

HCF of 881, 646, 689 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 881, 646, 689 is 1.

Highest Common Factor of 881,646,689 using Euclid's algorithm

Highest Common Factor of 881,646,689 is 1

Step 1: Since 881 > 646, we apply the division lemma to 881 and 646, to get

881 = 646 x 1 + 235

Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 235 and 646, to get

646 = 235 x 2 + 176

Step 3: We consider the new divisor 235 and the new remainder 176, and apply the division lemma to get

235 = 176 x 1 + 59

We consider the new divisor 176 and the new remainder 59,and apply the division lemma to get

176 = 59 x 2 + 58

We consider the new divisor 59 and the new remainder 58,and apply the division lemma to get

59 = 58 x 1 + 1

We consider the new divisor 58 and the new remainder 1,and apply the division lemma to get

58 = 1 x 58 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 881 and 646 is 1

Notice that 1 = HCF(58,1) = HCF(59,58) = HCF(176,59) = HCF(235,176) = HCF(646,235) = HCF(881,646) .

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

Step 1: Since 689 > 1, we apply the division lemma to 689 and 1, to get

689 = 1 x 689 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 689 is 1

Notice that 1 = HCF(689,1) .

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Frequently Asked Questions on HCF of 881, 646, 689 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 881, 646, 689?

Answer: HCF of 881, 646, 689 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 881, 646, 689 using Euclid's Algorithm?

Answer: For arbitrary numbers 881, 646, 689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.