Highest Common Factor of 570, 881, 634 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 570, 881, 634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 570, 881, 634 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 570, 881, 634 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 570, 881, 634 is 1.

HCF(570, 881, 634) = 1

HCF of 570, 881, 634 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 570, 881, 634 is 1.

Highest Common Factor of 570,881,634 using Euclid's algorithm

Highest Common Factor of 570,881,634 is 1

Step 1: Since 881 > 570, we apply the division lemma to 881 and 570, to get

881 = 570 x 1 + 311

Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 311 and 570, to get

570 = 311 x 1 + 259

Step 3: We consider the new divisor 311 and the new remainder 259, and apply the division lemma to get

311 = 259 x 1 + 52

We consider the new divisor 259 and the new remainder 52,and apply the division lemma to get

259 = 52 x 4 + 51

We consider the new divisor 52 and the new remainder 51,and apply the division lemma to get

52 = 51 x 1 + 1

We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get

51 = 1 x 51 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 570 and 881 is 1

Notice that 1 = HCF(51,1) = HCF(52,51) = HCF(259,52) = HCF(311,259) = HCF(570,311) = HCF(881,570) .

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

Step 1: Since 634 > 1, we apply the division lemma to 634 and 1, to get

634 = 1 x 634 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 634 is 1

Notice that 1 = HCF(634,1) .

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Frequently Asked Questions on HCF of 570, 881, 634 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 570, 881, 634?

Answer: HCF of 570, 881, 634 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 570, 881, 634 using Euclid's Algorithm?

Answer: For arbitrary numbers 570, 881, 634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.