Highest Common Factor of 687, 364, 81, 869 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 687, 364, 81, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 687, 364, 81, 869 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 687, 364, 81, 869 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 687, 364, 81, 869 is 1.

HCF(687, 364, 81, 869) = 1

HCF of 687, 364, 81, 869 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 687, 364, 81, 869 is 1.

Highest Common Factor of 687,364,81,869 using Euclid's algorithm

Highest Common Factor of 687,364,81,869 is 1

Step 1: Since 687 > 364, we apply the division lemma to 687 and 364, to get

687 = 364 x 1 + 323

Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 323 and 364, to get

364 = 323 x 1 + 41

Step 3: We consider the new divisor 323 and the new remainder 41, and apply the division lemma to get

323 = 41 x 7 + 36

We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get

41 = 36 x 1 + 5

We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get

36 = 5 x 7 + 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 687 and 364 is 1

Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(323,41) = HCF(364,323) = HCF(687,364) .

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

Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1

Notice that 1 = HCF(81,1) .

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

Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get

869 = 1 x 869 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1

Notice that 1 = HCF(869,1) .

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Frequently Asked Questions on HCF of 687, 364, 81, 869 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 687, 364, 81, 869?

Answer: HCF of 687, 364, 81, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 687, 364, 81, 869 using Euclid's Algorithm?

Answer: For arbitrary numbers 687, 364, 81, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.