Highest Common Factor of 890, 3164, 6529 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 890, 3164, 6529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 890, 3164, 6529 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 890, 3164, 6529 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 890, 3164, 6529 is 1.

HCF(890, 3164, 6529) = 1

HCF of 890, 3164, 6529 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 890, 3164, 6529 is 1.

Highest Common Factor of 890,3164,6529 using Euclid's algorithm

Highest Common Factor of 890,3164,6529 is 1

Step 1: Since 3164 > 890, we apply the division lemma to 3164 and 890, to get

3164 = 890 x 3 + 494

Step 2: Since the reminder 890 ≠ 0, we apply division lemma to 494 and 890, to get

890 = 494 x 1 + 396

Step 3: We consider the new divisor 494 and the new remainder 396, and apply the division lemma to get

494 = 396 x 1 + 98

We consider the new divisor 396 and the new remainder 98,and apply the division lemma to get

396 = 98 x 4 + 4

We consider the new divisor 98 and the new remainder 4,and apply the division lemma to get

98 = 4 x 24 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 890 and 3164 is 2

Notice that 2 = HCF(4,2) = HCF(98,4) = HCF(396,98) = HCF(494,396) = HCF(890,494) = HCF(3164,890) .

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

Step 1: Since 6529 > 2, we apply the division lemma to 6529 and 2, to get

6529 = 2 x 3264 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 6529 is 1

Notice that 1 = HCF(2,1) = HCF(6529,2) .

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Frequently Asked Questions on HCF of 890, 3164, 6529 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 890, 3164, 6529?

Answer: HCF of 890, 3164, 6529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 890, 3164, 6529 using Euclid's Algorithm?

Answer: For arbitrary numbers 890, 3164, 6529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.