Highest Common Factor of 685, 933, 527 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, 933, 527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 685, 933, 527 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, 933, 527 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, 933, 527 is 1.

HCF(685, 933, 527) = 1

HCF of 685, 933, 527 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, 933, 527 is 1.

Highest Common Factor of 685,933,527 using Euclid's algorithm

Highest Common Factor of 685,933,527 is 1

Step 1: Since 933 > 685, we apply the division lemma to 933 and 685, to get

933 = 685 x 1 + 248

Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 248 and 685, to get

685 = 248 x 2 + 189

Step 3: We consider the new divisor 248 and the new remainder 189, and apply the division lemma to get

248 = 189 x 1 + 59

We consider the new divisor 189 and the new remainder 59,and apply the division lemma to get

189 = 59 x 3 + 12

We consider the new divisor 59 and the new remainder 12,and apply the division lemma to get

59 = 12 x 4 + 11

We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 685 and 933 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(59,12) = HCF(189,59) = HCF(248,189) = HCF(685,248) = HCF(933,685) .

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

Step 1: Since 527 > 1, we apply the division lemma to 527 and 1, to get

527 = 1 x 527 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 527 is 1

Notice that 1 = HCF(527,1) .

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Frequently Asked Questions on HCF of 685, 933, 527 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, 933, 527?

Answer: HCF of 685, 933, 527 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 685, 933, 527 using Euclid's Algorithm?

Answer: For arbitrary numbers 685, 933, 527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.