Highest Common Factor of 646, 908, 883 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 646, 908, 883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 646, 908, 883 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 646, 908, 883 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 646, 908, 883 is 1.

HCF(646, 908, 883) = 1

HCF of 646, 908, 883 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 646, 908, 883 is 1.

Highest Common Factor of 646,908,883 using Euclid's algorithm

Highest Common Factor of 646,908,883 is 1

Step 1: Since 908 > 646, we apply the division lemma to 908 and 646, to get

908 = 646 x 1 + 262

Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 262 and 646, to get

646 = 262 x 2 + 122

Step 3: We consider the new divisor 262 and the new remainder 122, and apply the division lemma to get

262 = 122 x 2 + 18

We consider the new divisor 122 and the new remainder 18,and apply the division lemma to get

122 = 18 x 6 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 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 646 and 908 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(122,18) = HCF(262,122) = HCF(646,262) = HCF(908,646) .

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

Step 1: Since 883 > 2, we apply the division lemma to 883 and 2, to get

883 = 2 x 441 + 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 883 is 1

Notice that 1 = HCF(2,1) = HCF(883,2) .

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Frequently Asked Questions on HCF of 646, 908, 883 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 646, 908, 883?

Answer: HCF of 646, 908, 883 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 646, 908, 883 using Euclid's Algorithm?

Answer: For arbitrary numbers 646, 908, 883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.