Highest Common Factor of 480, 623, 84 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 480, 623, 84 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 480, 623, 84 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 480, 623, 84 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 480, 623, 84 is 1.

HCF(480, 623, 84) = 1

HCF of 480, 623, 84 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 480, 623, 84 is 1.

Highest Common Factor of 480,623,84 using Euclid's algorithm

Highest Common Factor of 480,623,84 is 1

Step 1: Since 623 > 480, we apply the division lemma to 623 and 480, to get

623 = 480 x 1 + 143

Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 143 and 480, to get

480 = 143 x 3 + 51

Step 3: We consider the new divisor 143 and the new remainder 51, and apply the division lemma to get

143 = 51 x 2 + 41

We consider the new divisor 51 and the new remainder 41,and apply the division lemma to get

51 = 41 x 1 + 10

We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get

41 = 10 x 4 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 480 and 623 is 1

Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(51,41) = HCF(143,51) = HCF(480,143) = HCF(623,480) .

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

Step 1: Since 84 > 1, we apply the division lemma to 84 and 1, to get

84 = 1 x 84 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84 is 1

Notice that 1 = HCF(84,1) .

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Frequently Asked Questions on HCF of 480, 623, 84 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 480, 623, 84?

Answer: HCF of 480, 623, 84 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 480, 623, 84 using Euclid's Algorithm?

Answer: For arbitrary numbers 480, 623, 84 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.