Highest Common Factor of 490, 887 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 490, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 490, 887 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 490, 887 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 490, 887 is 1.

HCF(490, 887) = 1

HCF of 490, 887 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 490, 887 is 1.

Highest Common Factor of 490,887 using Euclid's algorithm

Highest Common Factor of 490,887 is 1

Step 1: Since 887 > 490, we apply the division lemma to 887 and 490, to get

887 = 490 x 1 + 397

Step 2: Since the reminder 490 ≠ 0, we apply division lemma to 397 and 490, to get

490 = 397 x 1 + 93

Step 3: We consider the new divisor 397 and the new remainder 93, and apply the division lemma to get

397 = 93 x 4 + 25

We consider the new divisor 93 and the new remainder 25,and apply the division lemma to get

93 = 25 x 3 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 490 and 887 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(93,25) = HCF(397,93) = HCF(490,397) = HCF(887,490) .

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Frequently Asked Questions on HCF of 490, 887 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 490, 887?

Answer: HCF of 490, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 490, 887 using Euclid's Algorithm?

Answer: For arbitrary numbers 490, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.