Highest Common Factor of 7475, 5583 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 7475, 5583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7475, 5583 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 7475, 5583 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 7475, 5583 is 1.

HCF(7475, 5583) = 1

HCF of 7475, 5583 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 7475, 5583 is 1.

Highest Common Factor of 7475,5583 using Euclid's algorithm

Highest Common Factor of 7475,5583 is 1

Step 1: Since 7475 > 5583, we apply the division lemma to 7475 and 5583, to get

7475 = 5583 x 1 + 1892

Step 2: Since the reminder 5583 ≠ 0, we apply division lemma to 1892 and 5583, to get

5583 = 1892 x 2 + 1799

Step 3: We consider the new divisor 1892 and the new remainder 1799, and apply the division lemma to get

1892 = 1799 x 1 + 93

We consider the new divisor 1799 and the new remainder 93,and apply the division lemma to get

1799 = 93 x 19 + 32

We consider the new divisor 93 and the new remainder 32,and apply the division lemma to get

93 = 32 x 2 + 29

We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get

32 = 29 x 1 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7475 and 5583 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(93,32) = HCF(1799,93) = HCF(1892,1799) = HCF(5583,1892) = HCF(7475,5583) .

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Frequently Asked Questions on HCF of 7475, 5583 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 7475, 5583?

Answer: HCF of 7475, 5583 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7475, 5583 using Euclid's Algorithm?

Answer: For arbitrary numbers 7475, 5583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.