Highest Common Factor of 904, 546, 295 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 904, 546, 295 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 904, 546, 295 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 904, 546, 295 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 904, 546, 295 is 1.

HCF(904, 546, 295) = 1

HCF of 904, 546, 295 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 904, 546, 295 is 1.

Highest Common Factor of 904,546,295 using Euclid's algorithm

Highest Common Factor of 904,546,295 is 1

Step 1: Since 904 > 546, we apply the division lemma to 904 and 546, to get

904 = 546 x 1 + 358

Step 2: Since the reminder 546 ≠ 0, we apply division lemma to 358 and 546, to get

546 = 358 x 1 + 188

Step 3: We consider the new divisor 358 and the new remainder 188, and apply the division lemma to get

358 = 188 x 1 + 170

We consider the new divisor 188 and the new remainder 170,and apply the division lemma to get

188 = 170 x 1 + 18

We consider the new divisor 170 and the new remainder 18,and apply the division lemma to get

170 = 18 x 9 + 8

We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get

18 = 8 x 2 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 904 and 546 is 2

Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(170,18) = HCF(188,170) = HCF(358,188) = HCF(546,358) = HCF(904,546) .

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

Step 1: Since 295 > 2, we apply the division lemma to 295 and 2, to get

295 = 2 x 147 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 295 is 1

Notice that 1 = HCF(2,1) = HCF(295,2) .

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Frequently Asked Questions on HCF of 904, 546, 295 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 904, 546, 295?

Answer: HCF of 904, 546, 295 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 904, 546, 295 using Euclid's Algorithm?

Answer: For arbitrary numbers 904, 546, 295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.