Highest Common Factor of 685, 387, 273, 625 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 685, 387, 273, 625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 685, 387, 273, 625 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 685, 387, 273, 625 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 685, 387, 273, 625 is 1.

HCF(685, 387, 273, 625) = 1

HCF of 685, 387, 273, 625 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 685, 387, 273, 625 is 1.

Highest Common Factor of 685,387,273,625 using Euclid's algorithm

Highest Common Factor of 685,387,273,625 is 1

Step 1: Since 685 > 387, we apply the division lemma to 685 and 387, to get

685 = 387 x 1 + 298

Step 2: Since the reminder 387 ≠ 0, we apply division lemma to 298 and 387, to get

387 = 298 x 1 + 89

Step 3: We consider the new divisor 298 and the new remainder 89, and apply the division lemma to get

298 = 89 x 3 + 31

We consider the new divisor 89 and the new remainder 31,and apply the division lemma to get

89 = 31 x 2 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 685 and 387 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(89,31) = HCF(298,89) = HCF(387,298) = HCF(685,387) .

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

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

273 = 1 x 273 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 273 is 1

Notice that 1 = HCF(273,1) .

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

Step 1: Since 625 > 1, we apply the division lemma to 625 and 1, to get

625 = 1 x 625 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 625 is 1

Notice that 1 = HCF(625,1) .

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Frequently Asked Questions on HCF of 685, 387, 273, 625 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 685, 387, 273, 625?

Answer: HCF of 685, 387, 273, 625 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 685, 387, 273, 625 using Euclid's Algorithm?

Answer: For arbitrary numbers 685, 387, 273, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.