Highest Common Factor of 400, 731, 570 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 400, 731, 570 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 400, 731, 570 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 400, 731, 570 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 400, 731, 570 is 1.

HCF(400, 731, 570) = 1

HCF of 400, 731, 570 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 400, 731, 570 is 1.

Highest Common Factor of 400,731,570 using Euclid's algorithm

Highest Common Factor of 400,731,570 is 1

Step 1: Since 731 > 400, we apply the division lemma to 731 and 400, to get

731 = 400 x 1 + 331

Step 2: Since the reminder 400 ≠ 0, we apply division lemma to 331 and 400, to get

400 = 331 x 1 + 69

Step 3: We consider the new divisor 331 and the new remainder 69, and apply the division lemma to get

331 = 69 x 4 + 55

We consider the new divisor 69 and the new remainder 55,and apply the division lemma to get

69 = 55 x 1 + 14

We consider the new divisor 55 and the new remainder 14,and apply the division lemma to get

55 = 14 x 3 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 400 and 731 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(55,14) = HCF(69,55) = HCF(331,69) = HCF(400,331) = HCF(731,400) .

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

Step 1: Since 570 > 1, we apply the division lemma to 570 and 1, to get

570 = 1 x 570 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 570 is 1

Notice that 1 = HCF(570,1) .

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Frequently Asked Questions on HCF of 400, 731, 570 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 400, 731, 570?

Answer: HCF of 400, 731, 570 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 400, 731, 570 using Euclid's Algorithm?

Answer: For arbitrary numbers 400, 731, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.