Highest Common Factor of 5559, 7987, 58832 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 5559, 7987, 58832 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5559, 7987, 58832 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 5559, 7987, 58832 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 5559, 7987, 58832 is 1.

HCF(5559, 7987, 58832) = 1

HCF of 5559, 7987, 58832 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 5559, 7987, 58832 is 1.

Highest Common Factor of 5559,7987,58832 using Euclid's algorithm

Highest Common Factor of 5559,7987,58832 is 1

Step 1: Since 7987 > 5559, we apply the division lemma to 7987 and 5559, to get

7987 = 5559 x 1 + 2428

Step 2: Since the reminder 5559 ≠ 0, we apply division lemma to 2428 and 5559, to get

5559 = 2428 x 2 + 703

Step 3: We consider the new divisor 2428 and the new remainder 703, and apply the division lemma to get

2428 = 703 x 3 + 319

We consider the new divisor 703 and the new remainder 319,and apply the division lemma to get

703 = 319 x 2 + 65

We consider the new divisor 319 and the new remainder 65,and apply the division lemma to get

319 = 65 x 4 + 59

We consider the new divisor 65 and the new remainder 59,and apply the division lemma to get

65 = 59 x 1 + 6

We consider the new divisor 59 and the new remainder 6,and apply the division lemma to get

59 = 6 x 9 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5559 and 7987 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(59,6) = HCF(65,59) = HCF(319,65) = HCF(703,319) = HCF(2428,703) = HCF(5559,2428) = HCF(7987,5559) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 58832 > 1, we apply the division lemma to 58832 and 1, to get

58832 = 1 x 58832 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58832 is 1

Notice that 1 = HCF(58832,1) .

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Frequently Asked Questions on HCF of 5559, 7987, 58832 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 5559, 7987, 58832?

Answer: HCF of 5559, 7987, 58832 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5559, 7987, 58832 using Euclid's Algorithm?

Answer: For arbitrary numbers 5559, 7987, 58832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.