Highest Common Factor of 724, 447, 771 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 724, 447, 771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 724, 447, 771 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 724, 447, 771 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 724, 447, 771 is 1.

HCF(724, 447, 771) = 1

HCF of 724, 447, 771 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 724, 447, 771 is 1.

Highest Common Factor of 724,447,771 using Euclid's algorithm

Highest Common Factor of 724,447,771 is 1

Step 1: Since 724 > 447, we apply the division lemma to 724 and 447, to get

724 = 447 x 1 + 277

Step 2: Since the reminder 447 ≠ 0, we apply division lemma to 277 and 447, to get

447 = 277 x 1 + 170

Step 3: We consider the new divisor 277 and the new remainder 170, and apply the division lemma to get

277 = 170 x 1 + 107

We consider the new divisor 170 and the new remainder 107,and apply the division lemma to get

170 = 107 x 1 + 63

We consider the new divisor 107 and the new remainder 63,and apply the division lemma to get

107 = 63 x 1 + 44

We consider the new divisor 63 and the new remainder 44,and apply the division lemma to get

63 = 44 x 1 + 19

We consider the new divisor 44 and the new remainder 19,and apply the division lemma to get

44 = 19 x 2 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 724 and 447 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(44,19) = HCF(63,44) = HCF(107,63) = HCF(170,107) = HCF(277,170) = HCF(447,277) = HCF(724,447) .

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

Step 1: Since 771 > 1, we apply the division lemma to 771 and 1, to get

771 = 1 x 771 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 771 is 1

Notice that 1 = HCF(771,1) .

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Frequently Asked Questions on HCF of 724, 447, 771 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 724, 447, 771?

Answer: HCF of 724, 447, 771 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 724, 447, 771 using Euclid's Algorithm?

Answer: For arbitrary numbers 724, 447, 771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.