Highest Common Factor of 785, 8943, 9954 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 785, 8943, 9954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 785, 8943, 9954 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 785, 8943, 9954 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 785, 8943, 9954 is 1.

HCF(785, 8943, 9954) = 1

HCF of 785, 8943, 9954 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 785, 8943, 9954 is 1.

Highest Common Factor of 785,8943,9954 using Euclid's algorithm

Highest Common Factor of 785,8943,9954 is 1

Step 1: Since 8943 > 785, we apply the division lemma to 8943 and 785, to get

8943 = 785 x 11 + 308

Step 2: Since the reminder 785 ≠ 0, we apply division lemma to 308 and 785, to get

785 = 308 x 2 + 169

Step 3: We consider the new divisor 308 and the new remainder 169, and apply the division lemma to get

308 = 169 x 1 + 139

We consider the new divisor 169 and the new remainder 139,and apply the division lemma to get

169 = 139 x 1 + 30

We consider the new divisor 139 and the new remainder 30,and apply the division lemma to get

139 = 30 x 4 + 19

We consider the new divisor 30 and the new remainder 19,and apply the division lemma to get

30 = 19 x 1 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 785 and 8943 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(30,19) = HCF(139,30) = HCF(169,139) = HCF(308,169) = HCF(785,308) = HCF(8943,785) .

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

Step 1: Since 9954 > 1, we apply the division lemma to 9954 and 1, to get

9954 = 1 x 9954 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9954 is 1

Notice that 1 = HCF(9954,1) .

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Frequently Asked Questions on HCF of 785, 8943, 9954 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 785, 8943, 9954?

Answer: HCF of 785, 8943, 9954 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 785, 8943, 9954 using Euclid's Algorithm?

Answer: For arbitrary numbers 785, 8943, 9954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.