Highest Common Factor of 2418, 4488, 84065 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 2418, 4488, 84065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2418, 4488, 84065 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 2418, 4488, 84065 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 2418, 4488, 84065 is 1.

HCF(2418, 4488, 84065) = 1

HCF of 2418, 4488, 84065 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 2418, 4488, 84065 is 1.

Highest Common Factor of 2418,4488,84065 using Euclid's algorithm

Highest Common Factor of 2418,4488,84065 is 1

Step 1: Since 4488 > 2418, we apply the division lemma to 4488 and 2418, to get

4488 = 2418 x 1 + 2070

Step 2: Since the reminder 2418 ≠ 0, we apply division lemma to 2070 and 2418, to get

2418 = 2070 x 1 + 348

Step 3: We consider the new divisor 2070 and the new remainder 348, and apply the division lemma to get

2070 = 348 x 5 + 330

We consider the new divisor 348 and the new remainder 330,and apply the division lemma to get

348 = 330 x 1 + 18

We consider the new divisor 330 and the new remainder 18,and apply the division lemma to get

330 = 18 x 18 + 6

We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get

18 = 6 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 2418 and 4488 is 6

Notice that 6 = HCF(18,6) = HCF(330,18) = HCF(348,330) = HCF(2070,348) = HCF(2418,2070) = HCF(4488,2418) .

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

Step 1: Since 84065 > 6, we apply the division lemma to 84065 and 6, to get

84065 = 6 x 14010 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: 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 6 and 84065 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(84065,6) .

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Frequently Asked Questions on HCF of 2418, 4488, 84065 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 2418, 4488, 84065?

Answer: HCF of 2418, 4488, 84065 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2418, 4488, 84065 using Euclid's Algorithm?

Answer: For arbitrary numbers 2418, 4488, 84065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.