Highest Common Factor of 4582, 7799 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 4582, 7799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4582, 7799 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 4582, 7799 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 4582, 7799 is 1.

HCF(4582, 7799) = 1

HCF of 4582, 7799 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 4582, 7799 is 1.

Highest Common Factor of 4582,7799 using Euclid's algorithm

Highest Common Factor of 4582,7799 is 1

Step 1: Since 7799 > 4582, we apply the division lemma to 7799 and 4582, to get

7799 = 4582 x 1 + 3217

Step 2: Since the reminder 4582 ≠ 0, we apply division lemma to 3217 and 4582, to get

4582 = 3217 x 1 + 1365

Step 3: We consider the new divisor 3217 and the new remainder 1365, and apply the division lemma to get

3217 = 1365 x 2 + 487

We consider the new divisor 1365 and the new remainder 487,and apply the division lemma to get

1365 = 487 x 2 + 391

We consider the new divisor 487 and the new remainder 391,and apply the division lemma to get

487 = 391 x 1 + 96

We consider the new divisor 391 and the new remainder 96,and apply the division lemma to get

391 = 96 x 4 + 7

We consider the new divisor 96 and the new remainder 7,and apply the division lemma to get

96 = 7 x 13 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4582 and 7799 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(96,7) = HCF(391,96) = HCF(487,391) = HCF(1365,487) = HCF(3217,1365) = HCF(4582,3217) = HCF(7799,4582) .

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Frequently Asked Questions on HCF of 4582, 7799 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 4582, 7799?

Answer: HCF of 4582, 7799 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4582, 7799 using Euclid's Algorithm?

Answer: For arbitrary numbers 4582, 7799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.