Highest Common Factor of 676, 273, 73, 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 676, 273, 73, 685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 676, 273, 73, 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 676, 273, 73, 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 676, 273, 73, 685 is 1.

HCF(676, 273, 73, 685) = 1

HCF of 676, 273, 73, 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 676, 273, 73, 685 is 1.

Highest Common Factor of 676,273,73,685 using Euclid's algorithm

Highest Common Factor of 676,273,73,685 is 1

Step 1: Since 676 > 273, we apply the division lemma to 676 and 273, to get

676 = 273 x 2 + 130

Step 2: Since the reminder 273 ≠ 0, we apply division lemma to 130 and 273, to get

273 = 130 x 2 + 13

Step 3: We consider the new divisor 130 and the new remainder 13, and apply the division lemma to get

130 = 13 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 676 and 273 is 13

Notice that 13 = HCF(130,13) = HCF(273,130) = HCF(676,273) .

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

Step 1: Since 73 > 13, we apply the division lemma to 73 and 13, to get

73 = 13 x 5 + 8

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 8 and 13, to get

13 = 8 x 1 + 5

Step 3: We consider the new divisor 8 and the new remainder 5, and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 13 and 73 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(73,13) .

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 676, 273, 73, 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 676, 273, 73, 685?

Answer: HCF of 676, 273, 73, 685 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 676, 273, 73, 685 using Euclid's Algorithm?

Answer: For arbitrary numbers 676, 273, 73, 685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.