Highest Common Factor of 4045, 7424 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 4045, 7424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4045, 7424 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 4045, 7424 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 4045, 7424 is 1.

HCF(4045, 7424) = 1

HCF of 4045, 7424 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 4045, 7424 is 1.

Highest Common Factor of 4045,7424 using Euclid's algorithm

Highest Common Factor of 4045,7424 is 1

Step 1: Since 7424 > 4045, we apply the division lemma to 7424 and 4045, to get

7424 = 4045 x 1 + 3379

Step 2: Since the reminder 4045 ≠ 0, we apply division lemma to 3379 and 4045, to get

4045 = 3379 x 1 + 666

Step 3: We consider the new divisor 3379 and the new remainder 666, and apply the division lemma to get

3379 = 666 x 5 + 49

We consider the new divisor 666 and the new remainder 49,and apply the division lemma to get

666 = 49 x 13 + 29

We consider the new divisor 49 and the new remainder 29,and apply the division lemma to get

49 = 29 x 1 + 20

We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get

29 = 20 x 1 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 4045 and 7424 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(49,29) = HCF(666,49) = HCF(3379,666) = HCF(4045,3379) = HCF(7424,4045) .

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Frequently Asked Questions on HCF of 4045, 7424 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 4045, 7424?

Answer: HCF of 4045, 7424 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4045, 7424 using Euclid's Algorithm?

Answer: For arbitrary numbers 4045, 7424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.