Highest Common Factor of 3455, 4754 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 3455, 4754 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3455, 4754 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 3455, 4754 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 3455, 4754 is 1.

HCF(3455, 4754) = 1

HCF of 3455, 4754 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 3455, 4754 is 1.

Highest Common Factor of 3455,4754 using Euclid's algorithm

Highest Common Factor of 3455,4754 is 1

Step 1: Since 4754 > 3455, we apply the division lemma to 4754 and 3455, to get

4754 = 3455 x 1 + 1299

Step 2: Since the reminder 3455 ≠ 0, we apply division lemma to 1299 and 3455, to get

3455 = 1299 x 2 + 857

Step 3: We consider the new divisor 1299 and the new remainder 857, and apply the division lemma to get

1299 = 857 x 1 + 442

We consider the new divisor 857 and the new remainder 442,and apply the division lemma to get

857 = 442 x 1 + 415

We consider the new divisor 442 and the new remainder 415,and apply the division lemma to get

442 = 415 x 1 + 27

We consider the new divisor 415 and the new remainder 27,and apply the division lemma to get

415 = 27 x 15 + 10

We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get

27 = 10 x 2 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3455 and 4754 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(415,27) = HCF(442,415) = HCF(857,442) = HCF(1299,857) = HCF(3455,1299) = HCF(4754,3455) .

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Frequently Asked Questions on HCF of 3455, 4754 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 3455, 4754?

Answer: HCF of 3455, 4754 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3455, 4754 using Euclid's Algorithm?

Answer: For arbitrary numbers 3455, 4754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.