Highest Common Factor of 2907, 4469 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 2907, 4469 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2907, 4469 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 2907, 4469 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 2907, 4469 is 1.

HCF(2907, 4469) = 1

HCF of 2907, 4469 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 2907, 4469 is 1.

Highest Common Factor of 2907,4469 using Euclid's algorithm

Highest Common Factor of 2907,4469 is 1

Step 1: Since 4469 > 2907, we apply the division lemma to 4469 and 2907, to get

4469 = 2907 x 1 + 1562

Step 2: Since the reminder 2907 ≠ 0, we apply division lemma to 1562 and 2907, to get

2907 = 1562 x 1 + 1345

Step 3: We consider the new divisor 1562 and the new remainder 1345, and apply the division lemma to get

1562 = 1345 x 1 + 217

We consider the new divisor 1345 and the new remainder 217,and apply the division lemma to get

1345 = 217 x 6 + 43

We consider the new divisor 217 and the new remainder 43,and apply the division lemma to get

217 = 43 x 5 + 2

We consider the new divisor 43 and the new remainder 2,and apply the division lemma to get

43 = 2 x 21 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 2907 and 4469 is 1

Notice that 1 = HCF(2,1) = HCF(43,2) = HCF(217,43) = HCF(1345,217) = HCF(1562,1345) = HCF(2907,1562) = HCF(4469,2907) .

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Frequently Asked Questions on HCF of 2907, 4469 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 2907, 4469?

Answer: HCF of 2907, 4469 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2907, 4469 using Euclid's Algorithm?

Answer: For arbitrary numbers 2907, 4469 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.