Highest Common Factor of 7220, 8199, 55483 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 7220, 8199, 55483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7220, 8199, 55483 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 7220, 8199, 55483 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 7220, 8199, 55483 is 1.

HCF(7220, 8199, 55483) = 1

HCF of 7220, 8199, 55483 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 7220, 8199, 55483 is 1.

Highest Common Factor of 7220,8199,55483 using Euclid's algorithm

Highest Common Factor of 7220,8199,55483 is 1

Step 1: Since 8199 > 7220, we apply the division lemma to 8199 and 7220, to get

8199 = 7220 x 1 + 979

Step 2: Since the reminder 7220 ≠ 0, we apply division lemma to 979 and 7220, to get

7220 = 979 x 7 + 367

Step 3: We consider the new divisor 979 and the new remainder 367, and apply the division lemma to get

979 = 367 x 2 + 245

We consider the new divisor 367 and the new remainder 245,and apply the division lemma to get

367 = 245 x 1 + 122

We consider the new divisor 245 and the new remainder 122,and apply the division lemma to get

245 = 122 x 2 + 1

We consider the new divisor 122 and the new remainder 1,and apply the division lemma to get

122 = 1 x 122 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7220 and 8199 is 1

Notice that 1 = HCF(122,1) = HCF(245,122) = HCF(367,245) = HCF(979,367) = HCF(7220,979) = HCF(8199,7220) .

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

Step 1: Since 55483 > 1, we apply the division lemma to 55483 and 1, to get

55483 = 1 x 55483 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55483 is 1

Notice that 1 = HCF(55483,1) .

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Frequently Asked Questions on HCF of 7220, 8199, 55483 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 7220, 8199, 55483?

Answer: HCF of 7220, 8199, 55483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7220, 8199, 55483 using Euclid's Algorithm?

Answer: For arbitrary numbers 7220, 8199, 55483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.