Highest Common Factor of 220, 338, 183 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 220, 338, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 220, 338, 183 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 220, 338, 183 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 220, 338, 183 is 1.

HCF(220, 338, 183) = 1

HCF of 220, 338, 183 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 220, 338, 183 is 1.

Highest Common Factor of 220,338,183 using Euclid's algorithm

Highest Common Factor of 220,338,183 is 1

Step 1: Since 338 > 220, we apply the division lemma to 338 and 220, to get

338 = 220 x 1 + 118

Step 2: Since the reminder 220 ≠ 0, we apply division lemma to 118 and 220, to get

220 = 118 x 1 + 102

Step 3: We consider the new divisor 118 and the new remainder 102, and apply the division lemma to get

118 = 102 x 1 + 16

We consider the new divisor 102 and the new remainder 16,and apply the division lemma to get

102 = 16 x 6 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 220 and 338 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(102,16) = HCF(118,102) = HCF(220,118) = HCF(338,220) .

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

Step 1: Since 183 > 2, we apply the division lemma to 183 and 2, to get

183 = 2 x 91 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 183 is 1

Notice that 1 = HCF(2,1) = HCF(183,2) .

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Frequently Asked Questions on HCF of 220, 338, 183 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 220, 338, 183?

Answer: HCF of 220, 338, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 220, 338, 183 using Euclid's Algorithm?

Answer: For arbitrary numbers 220, 338, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.