Highest Common Factor of 250, 661, 328 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 250, 661, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 250, 661, 328 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 250, 661, 328 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 250, 661, 328 is 1.

HCF(250, 661, 328) = 1

HCF of 250, 661, 328 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 250, 661, 328 is 1.

Highest Common Factor of 250,661,328 using Euclid's algorithm

Highest Common Factor of 250,661,328 is 1

Step 1: Since 661 > 250, we apply the division lemma to 661 and 250, to get

661 = 250 x 2 + 161

Step 2: Since the reminder 250 ≠ 0, we apply division lemma to 161 and 250, to get

250 = 161 x 1 + 89

Step 3: We consider the new divisor 161 and the new remainder 89, and apply the division lemma to get

161 = 89 x 1 + 72

We consider the new divisor 89 and the new remainder 72,and apply the division lemma to get

89 = 72 x 1 + 17

We consider the new divisor 72 and the new remainder 17,and apply the division lemma to get

72 = 17 x 4 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma 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 250 and 661 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(72,17) = HCF(89,72) = HCF(161,89) = HCF(250,161) = HCF(661,250) .

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

Step 1: Since 328 > 1, we apply the division lemma to 328 and 1, to get

328 = 1 x 328 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 328 is 1

Notice that 1 = HCF(328,1) .

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Frequently Asked Questions on HCF of 250, 661, 328 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 250, 661, 328?

Answer: HCF of 250, 661, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 250, 661, 328 using Euclid's Algorithm?

Answer: For arbitrary numbers 250, 661, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.