Highest Common Factor of 770, 2817, 3389 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 770, 2817, 3389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 770, 2817, 3389 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 770, 2817, 3389 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 770, 2817, 3389 is 1.

HCF(770, 2817, 3389) = 1

HCF of 770, 2817, 3389 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 770, 2817, 3389 is 1.

Highest Common Factor of 770,2817,3389 using Euclid's algorithm

Highest Common Factor of 770,2817,3389 is 1

Step 1: Since 2817 > 770, we apply the division lemma to 2817 and 770, to get

2817 = 770 x 3 + 507

Step 2: Since the reminder 770 ≠ 0, we apply division lemma to 507 and 770, to get

770 = 507 x 1 + 263

Step 3: We consider the new divisor 507 and the new remainder 263, and apply the division lemma to get

507 = 263 x 1 + 244

We consider the new divisor 263 and the new remainder 244,and apply the division lemma to get

263 = 244 x 1 + 19

We consider the new divisor 244 and the new remainder 19,and apply the division lemma to get

244 = 19 x 12 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 770 and 2817 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(244,19) = HCF(263,244) = HCF(507,263) = HCF(770,507) = HCF(2817,770) .

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

Step 1: Since 3389 > 1, we apply the division lemma to 3389 and 1, to get

3389 = 1 x 3389 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3389 is 1

Notice that 1 = HCF(3389,1) .

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Frequently Asked Questions on HCF of 770, 2817, 3389 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 770, 2817, 3389?

Answer: HCF of 770, 2817, 3389 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 770, 2817, 3389 using Euclid's Algorithm?

Answer: For arbitrary numbers 770, 2817, 3389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.