Highest Common Factor of 988, 647, 886 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 988, 647, 886 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 988, 647, 886 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 988, 647, 886 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 988, 647, 886 is 1.

HCF(988, 647, 886) = 1

HCF of 988, 647, 886 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 988, 647, 886 is 1.

Highest Common Factor of 988,647,886 using Euclid's algorithm

Highest Common Factor of 988,647,886 is 1

Step 1: Since 988 > 647, we apply the division lemma to 988 and 647, to get

988 = 647 x 1 + 341

Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 341 and 647, to get

647 = 341 x 1 + 306

Step 3: We consider the new divisor 341 and the new remainder 306, and apply the division lemma to get

341 = 306 x 1 + 35

We consider the new divisor 306 and the new remainder 35,and apply the division lemma to get

306 = 35 x 8 + 26

We consider the new divisor 35 and the new remainder 26,and apply the division lemma to get

35 = 26 x 1 + 9

We consider the new divisor 26 and the new remainder 9,and apply the division lemma to get

26 = 9 x 2 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 988 and 647 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(26,9) = HCF(35,26) = HCF(306,35) = HCF(341,306) = HCF(647,341) = HCF(988,647) .

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

Step 1: Since 886 > 1, we apply the division lemma to 886 and 1, to get

886 = 1 x 886 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 886 is 1

Notice that 1 = HCF(886,1) .

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Frequently Asked Questions on HCF of 988, 647, 886 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 988, 647, 886?

Answer: HCF of 988, 647, 886 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 988, 647, 886 using Euclid's Algorithm?

Answer: For arbitrary numbers 988, 647, 886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.