Highest Common Factor of 4174, 1173 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 4174, 1173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4174, 1173 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 4174, 1173 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 4174, 1173 is 1.

HCF(4174, 1173) = 1

HCF of 4174, 1173 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4174, 1173 is 1.

Highest Common Factor of 4174,1173 using Euclid's algorithm

Highest Common Factor of 4174,1173 is 1

Step 1: Since 4174 > 1173, we apply the division lemma to 4174 and 1173, to get

4174 = 1173 x 3 + 655

Step 2: Since the reminder 1173 ≠ 0, we apply division lemma to 655 and 1173, to get

1173 = 655 x 1 + 518

Step 3: We consider the new divisor 655 and the new remainder 518, and apply the division lemma to get

655 = 518 x 1 + 137

We consider the new divisor 518 and the new remainder 137,and apply the division lemma to get

518 = 137 x 3 + 107

We consider the new divisor 137 and the new remainder 107,and apply the division lemma to get

137 = 107 x 1 + 30

We consider the new divisor 107 and the new remainder 30,and apply the division lemma to get

107 = 30 x 3 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 4174 and 1173 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(107,30) = HCF(137,107) = HCF(518,137) = HCF(655,518) = HCF(1173,655) = HCF(4174,1173) .

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Frequently Asked Questions on HCF of 4174, 1173 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 4174, 1173?

Answer: HCF of 4174, 1173 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4174, 1173 using Euclid's Algorithm?

Answer: For arbitrary numbers 4174, 1173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.