Highest Common Factor of 4453, 5948 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 4453, 5948 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4453, 5948 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 4453, 5948 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 4453, 5948 is 1.

HCF(4453, 5948) = 1

HCF of 4453, 5948 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 4453, 5948 is 1.

Highest Common Factor of 4453,5948 using Euclid's algorithm

Highest Common Factor of 4453,5948 is 1

Step 1: Since 5948 > 4453, we apply the division lemma to 5948 and 4453, to get

5948 = 4453 x 1 + 1495

Step 2: Since the reminder 4453 ≠ 0, we apply division lemma to 1495 and 4453, to get

4453 = 1495 x 2 + 1463

Step 3: We consider the new divisor 1495 and the new remainder 1463, and apply the division lemma to get

1495 = 1463 x 1 + 32

We consider the new divisor 1463 and the new remainder 32,and apply the division lemma to get

1463 = 32 x 45 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 4453 and 5948 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(1463,32) = HCF(1495,1463) = HCF(4453,1495) = HCF(5948,4453) .

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Frequently Asked Questions on HCF of 4453, 5948 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 4453, 5948?

Answer: HCF of 4453, 5948 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4453, 5948 using Euclid's Algorithm?

Answer: For arbitrary numbers 4453, 5948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.