Highest Common Factor of 876, 543, 573, 208 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 876, 543, 573, 208 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 876, 543, 573, 208 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 876, 543, 573, 208 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 876, 543, 573, 208 is 1.

HCF(876, 543, 573, 208) = 1

HCF of 876, 543, 573, 208 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 876, 543, 573, 208 is 1.

Highest Common Factor of 876,543,573,208 using Euclid's algorithm

Highest Common Factor of 876,543,573,208 is 1

Step 1: Since 876 > 543, we apply the division lemma to 876 and 543, to get

876 = 543 x 1 + 333

Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 333 and 543, to get

543 = 333 x 1 + 210

Step 3: We consider the new divisor 333 and the new remainder 210, and apply the division lemma to get

333 = 210 x 1 + 123

We consider the new divisor 210 and the new remainder 123,and apply the division lemma to get

210 = 123 x 1 + 87

We consider the new divisor 123 and the new remainder 87,and apply the division lemma to get

123 = 87 x 1 + 36

We consider the new divisor 87 and the new remainder 36,and apply the division lemma to get

87 = 36 x 2 + 15

We consider the new divisor 36 and the new remainder 15,and apply the division lemma to get

36 = 15 x 2 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 876 and 543 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(36,15) = HCF(87,36) = HCF(123,87) = HCF(210,123) = HCF(333,210) = HCF(543,333) = HCF(876,543) .

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

Step 1: Since 573 > 3, we apply the division lemma to 573 and 3, to get

573 = 3 x 191 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 573 is 3

Notice that 3 = HCF(573,3) .

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

Step 1: Since 208 > 3, we apply the division lemma to 208 and 3, to get

208 = 3 x 69 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 208 is 1

Notice that 1 = HCF(3,1) = HCF(208,3) .

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Frequently Asked Questions on HCF of 876, 543, 573, 208 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 876, 543, 573, 208?

Answer: HCF of 876, 543, 573, 208 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 876, 543, 573, 208 using Euclid's Algorithm?

Answer: For arbitrary numbers 876, 543, 573, 208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.