Highest Common Factor of 328, 527, 270, 663 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 328, 527, 270, 663 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 328, 527, 270, 663 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 328, 527, 270, 663 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 328, 527, 270, 663 is 1.

HCF(328, 527, 270, 663) = 1

HCF of 328, 527, 270, 663 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 328, 527, 270, 663 is 1.

Highest Common Factor of 328,527,270,663 using Euclid's algorithm

Highest Common Factor of 328,527,270,663 is 1

Step 1: Since 527 > 328, we apply the division lemma to 527 and 328, to get

527 = 328 x 1 + 199

Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 199 and 328, to get

328 = 199 x 1 + 129

Step 3: We consider the new divisor 199 and the new remainder 129, and apply the division lemma to get

199 = 129 x 1 + 70

We consider the new divisor 129 and the new remainder 70,and apply the division lemma to get

129 = 70 x 1 + 59

We consider the new divisor 70 and the new remainder 59,and apply the division lemma to get

70 = 59 x 1 + 11

We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get

59 = 11 x 5 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 328 and 527 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(70,59) = HCF(129,70) = HCF(199,129) = HCF(328,199) = HCF(527,328) .

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

Step 1: Since 270 > 1, we apply the division lemma to 270 and 1, to get

270 = 1 x 270 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 270 is 1

Notice that 1 = HCF(270,1) .

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

Step 1: Since 663 > 1, we apply the division lemma to 663 and 1, to get

663 = 1 x 663 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 663 is 1

Notice that 1 = HCF(663,1) .

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Frequently Asked Questions on HCF of 328, 527, 270, 663 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 328, 527, 270, 663?

Answer: HCF of 328, 527, 270, 663 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 328, 527, 270, 663 using Euclid's Algorithm?

Answer: For arbitrary numbers 328, 527, 270, 663 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.