Highest Common Factor of 530, 853, 45 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 530, 853, 45 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 530, 853, 45 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 530, 853, 45 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 530, 853, 45 is 1.

HCF(530, 853, 45) = 1

HCF of 530, 853, 45 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 530, 853, 45 is 1.

Highest Common Factor of 530,853,45 using Euclid's algorithm

Highest Common Factor of 530,853,45 is 1

Step 1: Since 853 > 530, we apply the division lemma to 853 and 530, to get

853 = 530 x 1 + 323

Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 323 and 530, to get

530 = 323 x 1 + 207

Step 3: We consider the new divisor 323 and the new remainder 207, and apply the division lemma to get

323 = 207 x 1 + 116

We consider the new divisor 207 and the new remainder 116,and apply the division lemma to get

207 = 116 x 1 + 91

We consider the new divisor 116 and the new remainder 91,and apply the division lemma to get

116 = 91 x 1 + 25

We consider the new divisor 91 and the new remainder 25,and apply the division lemma to get

91 = 25 x 3 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 530 and 853 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(91,25) = HCF(116,91) = HCF(207,116) = HCF(323,207) = HCF(530,323) = HCF(853,530) .

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

Step 1: Since 45 > 1, we apply the division lemma to 45 and 1, to get

45 = 1 x 45 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45 is 1

Notice that 1 = HCF(45,1) .

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Frequently Asked Questions on HCF of 530, 853, 45 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 530, 853, 45?

Answer: HCF of 530, 853, 45 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 530, 853, 45 using Euclid's Algorithm?

Answer: For arbitrary numbers 530, 853, 45 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.