Highest Common Factor of 556, 908, 93, 648 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 556, 908, 93, 648 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 556, 908, 93, 648 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 556, 908, 93, 648 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 556, 908, 93, 648 is 1.

HCF(556, 908, 93, 648) = 1

HCF of 556, 908, 93, 648 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 556, 908, 93, 648 is 1.

Highest Common Factor of 556,908,93,648 using Euclid's algorithm

Highest Common Factor of 556,908,93,648 is 1

Step 1: Since 908 > 556, we apply the division lemma to 908 and 556, to get

908 = 556 x 1 + 352

Step 2: Since the reminder 556 ≠ 0, we apply division lemma to 352 and 556, to get

556 = 352 x 1 + 204

Step 3: We consider the new divisor 352 and the new remainder 204, and apply the division lemma to get

352 = 204 x 1 + 148

We consider the new divisor 204 and the new remainder 148,and apply the division lemma to get

204 = 148 x 1 + 56

We consider the new divisor 148 and the new remainder 56,and apply the division lemma to get

148 = 56 x 2 + 36

We consider the new divisor 56 and the new remainder 36,and apply the division lemma to get

56 = 36 x 1 + 20

We consider the new divisor 36 and the new remainder 20,and apply the division lemma to get

36 = 20 x 1 + 16

We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 556 and 908 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(36,20) = HCF(56,36) = HCF(148,56) = HCF(204,148) = HCF(352,204) = HCF(556,352) = HCF(908,556) .

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

Step 1: Since 93 > 4, we apply the division lemma to 93 and 4, to get

93 = 4 x 23 + 1

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 93 is 1

Notice that 1 = HCF(4,1) = HCF(93,4) .

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

Step 1: Since 648 > 1, we apply the division lemma to 648 and 1, to get

648 = 1 x 648 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 648 is 1

Notice that 1 = HCF(648,1) .

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Frequently Asked Questions on HCF of 556, 908, 93, 648 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 556, 908, 93, 648?

Answer: HCF of 556, 908, 93, 648 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 556, 908, 93, 648 using Euclid's Algorithm?

Answer: For arbitrary numbers 556, 908, 93, 648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.