Highest Common Factor of 955, 588, 755, 11 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 955, 588, 755, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 955, 588, 755, 11 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 955, 588, 755, 11 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 955, 588, 755, 11 is 1.

HCF(955, 588, 755, 11) = 1

HCF of 955, 588, 755, 11 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 955, 588, 755, 11 is 1.

Highest Common Factor of 955,588,755,11 using Euclid's algorithm

Highest Common Factor of 955,588,755,11 is 1

Step 1: Since 955 > 588, we apply the division lemma to 955 and 588, to get

955 = 588 x 1 + 367

Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 367 and 588, to get

588 = 367 x 1 + 221

Step 3: We consider the new divisor 367 and the new remainder 221, and apply the division lemma to get

367 = 221 x 1 + 146

We consider the new divisor 221 and the new remainder 146,and apply the division lemma to get

221 = 146 x 1 + 75

We consider the new divisor 146 and the new remainder 75,and apply the division lemma to get

146 = 75 x 1 + 71

We consider the new divisor 75 and the new remainder 71,and apply the division lemma to get

75 = 71 x 1 + 4

We consider the new divisor 71 and the new remainder 4,and apply the division lemma to get

71 = 4 x 17 + 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 955 and 588 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(71,4) = HCF(75,71) = HCF(146,75) = HCF(221,146) = HCF(367,221) = HCF(588,367) = HCF(955,588) .

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

Step 1: Since 755 > 1, we apply the division lemma to 755 and 1, to get

755 = 1 x 755 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 755 is 1

Notice that 1 = HCF(755,1) .

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

Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1

Notice that 1 = HCF(11,1) .

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Frequently Asked Questions on HCF of 955, 588, 755, 11 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 955, 588, 755, 11?

Answer: HCF of 955, 588, 755, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 955, 588, 755, 11 using Euclid's Algorithm?

Answer: For arbitrary numbers 955, 588, 755, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.