Highest Common Factor of 989, 820, 766, 903 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, 820, 766, 903 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 989, 820, 766, 903 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, 820, 766, 903 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, 820, 766, 903 is 1.

HCF(989, 820, 766, 903) = 1

HCF of 989, 820, 766, 903 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, 820, 766, 903 is 1.

Highest Common Factor of 989,820,766,903 using Euclid's algorithm

Highest Common Factor of 989,820,766,903 is 1

Step 1: Since 989 > 820, we apply the division lemma to 989 and 820, to get

989 = 820 x 1 + 169

Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 169 and 820, to get

820 = 169 x 4 + 144

Step 3: We consider the new divisor 169 and the new remainder 144, and apply the division lemma to get

169 = 144 x 1 + 25

We consider the new divisor 144 and the new remainder 25,and apply the division lemma to get

144 = 25 x 5 + 19

We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get

25 = 19 x 1 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 989 and 820 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(144,25) = HCF(169,144) = HCF(820,169) = HCF(989,820) .


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

Step 1: Since 766 > 1, we apply the division lemma to 766 and 1, to get

766 = 1 x 766 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 766 is 1

Notice that 1 = HCF(766,1) .


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

Step 1: Since 903 > 1, we apply the division lemma to 903 and 1, to get

903 = 1 x 903 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 903 is 1

Notice that 1 = HCF(903,1) .

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Frequently Asked Questions on HCF of 989, 820, 766, 903 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, 820, 766, 903?

Answer: HCF of 989, 820, 766, 903 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 989, 820, 766, 903 using Euclid's Algorithm?

Answer: For arbitrary numbers 989, 820, 766, 903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.