Highest Common Factor of 739, 203, 685 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 739, 203, 685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 739, 203, 685 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 739, 203, 685 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 739, 203, 685 is 1.

HCF(739, 203, 685) = 1

HCF of 739, 203, 685 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 739, 203, 685 is 1.

Highest Common Factor of 739,203,685 using Euclid's algorithm

Highest Common Factor of 739,203,685 is 1

Step 1: Since 739 > 203, we apply the division lemma to 739 and 203, to get

739 = 203 x 3 + 130

Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 130 and 203, to get

203 = 130 x 1 + 73

Step 3: We consider the new divisor 130 and the new remainder 73, and apply the division lemma to get

130 = 73 x 1 + 57

We consider the new divisor 73 and the new remainder 57,and apply the division lemma to get

73 = 57 x 1 + 16

We consider the new divisor 57 and the new remainder 16,and apply the division lemma to get

57 = 16 x 3 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 739 and 203 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(57,16) = HCF(73,57) = HCF(130,73) = HCF(203,130) = HCF(739,203) .

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

Step 1: Since 685 > 1, we apply the division lemma to 685 and 1, to get

685 = 1 x 685 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 685 is 1

Notice that 1 = HCF(685,1) .

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Frequently Asked Questions on HCF of 739, 203, 685 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 739, 203, 685?

Answer: HCF of 739, 203, 685 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 739, 203, 685 using Euclid's Algorithm?

Answer: For arbitrary numbers 739, 203, 685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.