Highest Common Factor of 476, 769, 727 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 476, 769, 727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 476, 769, 727 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 476, 769, 727 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 476, 769, 727 is 1.

HCF(476, 769, 727) = 1

HCF of 476, 769, 727 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 476, 769, 727 is 1.

Highest Common Factor of 476,769,727 using Euclid's algorithm

Highest Common Factor of 476,769,727 is 1

Step 1: Since 769 > 476, we apply the division lemma to 769 and 476, to get

769 = 476 x 1 + 293

Step 2: Since the reminder 476 ≠ 0, we apply division lemma to 293 and 476, to get

476 = 293 x 1 + 183

Step 3: We consider the new divisor 293 and the new remainder 183, and apply the division lemma to get

293 = 183 x 1 + 110

We consider the new divisor 183 and the new remainder 110,and apply the division lemma to get

183 = 110 x 1 + 73

We consider the new divisor 110 and the new remainder 73,and apply the division lemma to get

110 = 73 x 1 + 37

We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get

73 = 37 x 1 + 36

We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get

37 = 36 x 1 + 1

We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get

36 = 1 x 36 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 476 and 769 is 1

Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(183,110) = HCF(293,183) = HCF(476,293) = HCF(769,476) .

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

Step 1: Since 727 > 1, we apply the division lemma to 727 and 1, to get

727 = 1 x 727 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 727 is 1

Notice that 1 = HCF(727,1) .

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Frequently Asked Questions on HCF of 476, 769, 727 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 476, 769, 727?

Answer: HCF of 476, 769, 727 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 476, 769, 727 using Euclid's Algorithm?

Answer: For arbitrary numbers 476, 769, 727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.