Highest Common Factor of 5525, 1404, 90807 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 5525, 1404, 90807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5525, 1404, 90807 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 5525, 1404, 90807 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 5525, 1404, 90807 is 1.

HCF(5525, 1404, 90807) = 1

HCF of 5525, 1404, 90807 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 5525, 1404, 90807 is 1.

Highest Common Factor of 5525,1404,90807 using Euclid's algorithm

Highest Common Factor of 5525,1404,90807 is 1

Step 1: Since 5525 > 1404, we apply the division lemma to 5525 and 1404, to get

5525 = 1404 x 3 + 1313

Step 2: Since the reminder 1404 ≠ 0, we apply division lemma to 1313 and 1404, to get

1404 = 1313 x 1 + 91

Step 3: We consider the new divisor 1313 and the new remainder 91, and apply the division lemma to get

1313 = 91 x 14 + 39

We consider the new divisor 91 and the new remainder 39,and apply the division lemma to get

91 = 39 x 2 + 13

We consider the new divisor 39 and the new remainder 13,and apply the division lemma to get

39 = 13 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 5525 and 1404 is 13

Notice that 13 = HCF(39,13) = HCF(91,39) = HCF(1313,91) = HCF(1404,1313) = HCF(5525,1404) .

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

Step 1: Since 90807 > 13, we apply the division lemma to 90807 and 13, to get

90807 = 13 x 6985 + 2

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 2 and 13, to get

13 = 2 x 6 + 1

Step 3: 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 13 and 90807 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(90807,13) .

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Frequently Asked Questions on HCF of 5525, 1404, 90807 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 5525, 1404, 90807?

Answer: HCF of 5525, 1404, 90807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5525, 1404, 90807 using Euclid's Algorithm?

Answer: For arbitrary numbers 5525, 1404, 90807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.