Highest Common Factor of 955, 572, 976, 178 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, 572, 976, 178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 955, 572, 976, 178 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, 572, 976, 178 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, 572, 976, 178 is 1.

HCF(955, 572, 976, 178) = 1

HCF of 955, 572, 976, 178 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, 572, 976, 178 is 1.

Highest Common Factor of 955,572,976,178 using Euclid's algorithm

Highest Common Factor of 955,572,976,178 is 1

Step 1: Since 955 > 572, we apply the division lemma to 955 and 572, to get

955 = 572 x 1 + 383

Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 383 and 572, to get

572 = 383 x 1 + 189

Step 3: We consider the new divisor 383 and the new remainder 189, and apply the division lemma to get

383 = 189 x 2 + 5

We consider the new divisor 189 and the new remainder 5,and apply the division lemma to get

189 = 5 x 37 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 955 and 572 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(189,5) = HCF(383,189) = HCF(572,383) = HCF(955,572) .

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

Step 1: Since 976 > 1, we apply the division lemma to 976 and 1, to get

976 = 1 x 976 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 976 is 1

Notice that 1 = HCF(976,1) .

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

Step 1: Since 178 > 1, we apply the division lemma to 178 and 1, to get

178 = 1 x 178 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 178 is 1

Notice that 1 = HCF(178,1) .

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Frequently Asked Questions on HCF of 955, 572, 976, 178 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, 572, 976, 178?

Answer: HCF of 955, 572, 976, 178 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 955, 572, 976, 178 using Euclid's Algorithm?

Answer: For arbitrary numbers 955, 572, 976, 178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.