Highest Common Factor of 200, 243, 232, 210 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 200, 243, 232, 210 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 200, 243, 232, 210 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 200, 243, 232, 210 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 200, 243, 232, 210 is 1.

HCF(200, 243, 232, 210) = 1

HCF of 200, 243, 232, 210 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 200, 243, 232, 210 is 1.

Highest Common Factor of 200,243,232,210 using Euclid's algorithm

Highest Common Factor of 200,243,232,210 is 1

Step 1: Since 243 > 200, we apply the division lemma to 243 and 200, to get

243 = 200 x 1 + 43

Step 2: Since the reminder 200 ≠ 0, we apply division lemma to 43 and 200, to get

200 = 43 x 4 + 28

Step 3: We consider the new divisor 43 and the new remainder 28, and apply the division lemma to get

43 = 28 x 1 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 200 and 243 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(43,28) = HCF(200,43) = HCF(243,200) .

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

Step 1: Since 232 > 1, we apply the division lemma to 232 and 1, to get

232 = 1 x 232 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 232 is 1

Notice that 1 = HCF(232,1) .

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

Step 1: Since 210 > 1, we apply the division lemma to 210 and 1, to get

210 = 1 x 210 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 210 is 1

Notice that 1 = HCF(210,1) .

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Frequently Asked Questions on HCF of 200, 243, 232, 210 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 200, 243, 232, 210?

Answer: HCF of 200, 243, 232, 210 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 200, 243, 232, 210 using Euclid's Algorithm?

Answer: For arbitrary numbers 200, 243, 232, 210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.