Highest Common Factor of 954, 361, 285 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 954, 361, 285 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 954, 361, 285 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 954, 361, 285 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 954, 361, 285 is 1.

HCF(954, 361, 285) = 1

HCF of 954, 361, 285 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 954, 361, 285 is 1.

Highest Common Factor of 954,361,285 using Euclid's algorithm

Highest Common Factor of 954,361,285 is 1

Step 1: Since 954 > 361, we apply the division lemma to 954 and 361, to get

954 = 361 x 2 + 232

Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 232 and 361, to get

361 = 232 x 1 + 129

Step 3: We consider the new divisor 232 and the new remainder 129, and apply the division lemma to get

232 = 129 x 1 + 103

We consider the new divisor 129 and the new remainder 103,and apply the division lemma to get

129 = 103 x 1 + 26

We consider the new divisor 103 and the new remainder 26,and apply the division lemma to get

103 = 26 x 3 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 954 and 361 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(103,26) = HCF(129,103) = HCF(232,129) = HCF(361,232) = HCF(954,361) .

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

Step 1: Since 285 > 1, we apply the division lemma to 285 and 1, to get

285 = 1 x 285 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 285 is 1

Notice that 1 = HCF(285,1) .

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Frequently Asked Questions on HCF of 954, 361, 285 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 954, 361, 285?

Answer: HCF of 954, 361, 285 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 954, 361, 285 using Euclid's Algorithm?

Answer: For arbitrary numbers 954, 361, 285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.