Highest Common Factor of 989, 638, 254 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 989, 638, 254 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 989, 638, 254 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 989, 638, 254 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 989, 638, 254 is 1.

HCF(989, 638, 254) = 1

HCF of 989, 638, 254 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 989, 638, 254 is 1.

Highest Common Factor of 989,638,254 using Euclid's algorithm

Highest Common Factor of 989,638,254 is 1

Step 1: Since 989 > 638, we apply the division lemma to 989 and 638, to get

989 = 638 x 1 + 351

Step 2: Since the reminder 638 ≠ 0, we apply division lemma to 351 and 638, to get

638 = 351 x 1 + 287

Step 3: We consider the new divisor 351 and the new remainder 287, and apply the division lemma to get

351 = 287 x 1 + 64

We consider the new divisor 287 and the new remainder 64,and apply the division lemma to get

287 = 64 x 4 + 31

We consider the new divisor 64 and the new remainder 31,and apply the division lemma to get

64 = 31 x 2 + 2

We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get

31 = 2 x 15 + 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 989 and 638 is 1

Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(64,31) = HCF(287,64) = HCF(351,287) = HCF(638,351) = HCF(989,638) .

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

Step 1: Since 254 > 1, we apply the division lemma to 254 and 1, to get

254 = 1 x 254 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 254 is 1

Notice that 1 = HCF(254,1) .

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Frequently Asked Questions on HCF of 989, 638, 254 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 989, 638, 254?

Answer: HCF of 989, 638, 254 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 989, 638, 254 using Euclid's Algorithm?

Answer: For arbitrary numbers 989, 638, 254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.