Highest Common Factor of 578, 929, 835, 57 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 578, 929, 835, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 578, 929, 835, 57 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 578, 929, 835, 57 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 578, 929, 835, 57 is 1.

HCF(578, 929, 835, 57) = 1

HCF of 578, 929, 835, 57 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 578, 929, 835, 57 is 1.

Highest Common Factor of 578,929,835,57 using Euclid's algorithm

Highest Common Factor of 578,929,835,57 is 1

Step 1: Since 929 > 578, we apply the division lemma to 929 and 578, to get

929 = 578 x 1 + 351

Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 351 and 578, to get

578 = 351 x 1 + 227

Step 3: We consider the new divisor 351 and the new remainder 227, and apply the division lemma to get

351 = 227 x 1 + 124

We consider the new divisor 227 and the new remainder 124,and apply the division lemma to get

227 = 124 x 1 + 103

We consider the new divisor 124 and the new remainder 103,and apply the division lemma to get

124 = 103 x 1 + 21

We consider the new divisor 103 and the new remainder 21,and apply the division lemma to get

103 = 21 x 4 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 578 and 929 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(103,21) = HCF(124,103) = HCF(227,124) = HCF(351,227) = HCF(578,351) = HCF(929,578) .

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

Step 1: Since 835 > 1, we apply the division lemma to 835 and 1, to get

835 = 1 x 835 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 835 is 1

Notice that 1 = HCF(835,1) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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Frequently Asked Questions on HCF of 578, 929, 835, 57 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 578, 929, 835, 57?

Answer: HCF of 578, 929, 835, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 578, 929, 835, 57 using Euclid's Algorithm?

Answer: For arbitrary numbers 578, 929, 835, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.