Highest Common Factor of 689, 832, 349, 884 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 689, 832, 349, 884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 689, 832, 349, 884 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 689, 832, 349, 884 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 689, 832, 349, 884 is 1.

HCF(689, 832, 349, 884) = 1

HCF of 689, 832, 349, 884 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 689, 832, 349, 884 is 1.

Highest Common Factor of 689,832,349,884 using Euclid's algorithm

Highest Common Factor of 689,832,349,884 is 1

Step 1: Since 832 > 689, we apply the division lemma to 832 and 689, to get

832 = 689 x 1 + 143

Step 2: Since the reminder 689 ≠ 0, we apply division lemma to 143 and 689, to get

689 = 143 x 4 + 117

Step 3: We consider the new divisor 143 and the new remainder 117, and apply the division lemma to get

143 = 117 x 1 + 26

We consider the new divisor 117 and the new remainder 26,and apply the division lemma to get

117 = 26 x 4 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 689 and 832 is 13

Notice that 13 = HCF(26,13) = HCF(117,26) = HCF(143,117) = HCF(689,143) = HCF(832,689) .

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

Step 1: Since 349 > 13, we apply the division lemma to 349 and 13, to get

349 = 13 x 26 + 11

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 11 and 13, to get

13 = 11 x 1 + 2

Step 3: We consider the new divisor 11 and the new remainder 2, and apply the division lemma to get

11 = 2 x 5 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 349 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(349,13) .

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

Step 1: Since 884 > 1, we apply the division lemma to 884 and 1, to get

884 = 1 x 884 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 884 is 1

Notice that 1 = HCF(884,1) .

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Frequently Asked Questions on HCF of 689, 832, 349, 884 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 689, 832, 349, 884?

Answer: HCF of 689, 832, 349, 884 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 689, 832, 349, 884 using Euclid's Algorithm?

Answer: For arbitrary numbers 689, 832, 349, 884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.