Highest Common Factor of 328, 953, 38, 177 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, 953, 38, 177 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 328, 953, 38, 177 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, 953, 38, 177 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, 953, 38, 177 is 1.

HCF(328, 953, 38, 177) = 1

HCF of 328, 953, 38, 177 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, 953, 38, 177 is 1.

Highest Common Factor of 328,953,38,177 using Euclid's algorithm

Highest Common Factor of 328,953,38,177 is 1

Step 1: Since 953 > 328, we apply the division lemma to 953 and 328, to get

953 = 328 x 2 + 297

Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 297 and 328, to get

328 = 297 x 1 + 31

Step 3: We consider the new divisor 297 and the new remainder 31, and apply the division lemma to get

297 = 31 x 9 + 18

We consider the new divisor 31 and the new remainder 18,and apply the division lemma to get

31 = 18 x 1 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 328 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(31,18) = HCF(297,31) = HCF(328,297) = HCF(953,328) .

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

Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get

38 = 1 x 38 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1

Notice that 1 = HCF(38,1) .

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

Step 1: Since 177 > 1, we apply the division lemma to 177 and 1, to get

177 = 1 x 177 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 177 is 1

Notice that 1 = HCF(177,1) .

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Frequently Asked Questions on HCF of 328, 953, 38, 177 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, 953, 38, 177?

Answer: HCF of 328, 953, 38, 177 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 328, 953, 38, 177 using Euclid's Algorithm?

Answer: For arbitrary numbers 328, 953, 38, 177 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.