Highest Common Factor of 437, 693, 265 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 437, 693, 265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 437, 693, 265 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 437, 693, 265 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 437, 693, 265 is 1.

HCF(437, 693, 265) = 1

HCF of 437, 693, 265 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 437, 693, 265 is 1.

Highest Common Factor of 437,693,265 using Euclid's algorithm

Highest Common Factor of 437,693,265 is 1

Step 1: Since 693 > 437, we apply the division lemma to 693 and 437, to get

693 = 437 x 1 + 256

Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 256 and 437, to get

437 = 256 x 1 + 181

Step 3: We consider the new divisor 256 and the new remainder 181, and apply the division lemma to get

256 = 181 x 1 + 75

We consider the new divisor 181 and the new remainder 75,and apply the division lemma to get

181 = 75 x 2 + 31

We consider the new divisor 75 and the new remainder 31,and apply the division lemma to get

75 = 31 x 2 + 13

We consider the new divisor 31 and the new remainder 13,and apply the division lemma to get

31 = 13 x 2 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 437 and 693 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(31,13) = HCF(75,31) = HCF(181,75) = HCF(256,181) = HCF(437,256) = HCF(693,437) .

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

Step 1: Since 265 > 1, we apply the division lemma to 265 and 1, to get

265 = 1 x 265 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 265 is 1

Notice that 1 = HCF(265,1) .

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Frequently Asked Questions on HCF of 437, 693, 265 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 437, 693, 265?

Answer: HCF of 437, 693, 265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 437, 693, 265 using Euclid's Algorithm?

Answer: For arbitrary numbers 437, 693, 265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.