Highest Common Factor of 203, 323, 70 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 203, 323, 70 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 203, 323, 70 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 203, 323, 70 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 203, 323, 70 is 1.

HCF(203, 323, 70) = 1

HCF of 203, 323, 70 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 203, 323, 70 is 1.

Highest Common Factor of 203,323,70 using Euclid's algorithm

Highest Common Factor of 203,323,70 is 1

Step 1: Since 323 > 203, we apply the division lemma to 323 and 203, to get

323 = 203 x 1 + 120

Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 120 and 203, to get

203 = 120 x 1 + 83

Step 3: We consider the new divisor 120 and the new remainder 83, and apply the division lemma to get

120 = 83 x 1 + 37

We consider the new divisor 83 and the new remainder 37,and apply the division lemma to get

83 = 37 x 2 + 9

We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get

37 = 9 x 4 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 203 and 323 is 1

Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(83,37) = HCF(120,83) = HCF(203,120) = HCF(323,203) .

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

Step 1: Since 70 > 1, we apply the division lemma to 70 and 1, to get

70 = 1 x 70 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70 is 1

Notice that 1 = HCF(70,1) .

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Frequently Asked Questions on HCF of 203, 323, 70 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 203, 323, 70?

Answer: HCF of 203, 323, 70 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 203, 323, 70 using Euclid's Algorithm?

Answer: For arbitrary numbers 203, 323, 70 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.