Highest Common Factor of 4575, 3173, 79146 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 4575, 3173, 79146 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4575, 3173, 79146 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 4575, 3173, 79146 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 4575, 3173, 79146 is 1.

HCF(4575, 3173, 79146) = 1

HCF of 4575, 3173, 79146 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 4575, 3173, 79146 is 1.

Highest Common Factor of 4575,3173,79146 using Euclid's algorithm

Highest Common Factor of 4575,3173,79146 is 1

Step 1: Since 4575 > 3173, we apply the division lemma to 4575 and 3173, to get

4575 = 3173 x 1 + 1402

Step 2: Since the reminder 3173 ≠ 0, we apply division lemma to 1402 and 3173, to get

3173 = 1402 x 2 + 369

Step 3: We consider the new divisor 1402 and the new remainder 369, and apply the division lemma to get

1402 = 369 x 3 + 295

We consider the new divisor 369 and the new remainder 295,and apply the division lemma to get

369 = 295 x 1 + 74

We consider the new divisor 295 and the new remainder 74,and apply the division lemma to get

295 = 74 x 3 + 73

We consider the new divisor 74 and the new remainder 73,and apply the division lemma to get

74 = 73 x 1 + 1

We consider the new divisor 73 and the new remainder 1,and apply the division lemma to get

73 = 1 x 73 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4575 and 3173 is 1

Notice that 1 = HCF(73,1) = HCF(74,73) = HCF(295,74) = HCF(369,295) = HCF(1402,369) = HCF(3173,1402) = HCF(4575,3173) .

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

Step 1: Since 79146 > 1, we apply the division lemma to 79146 and 1, to get

79146 = 1 x 79146 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79146 is 1

Notice that 1 = HCF(79146,1) .

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Frequently Asked Questions on HCF of 4575, 3173, 79146 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 4575, 3173, 79146?

Answer: HCF of 4575, 3173, 79146 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4575, 3173, 79146 using Euclid's Algorithm?

Answer: For arbitrary numbers 4575, 3173, 79146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.