Highest Common Factor of 1467, 7868, 29918 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 1467, 7868, 29918 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1467, 7868, 29918 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 1467, 7868, 29918 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 1467, 7868, 29918 is 1.

HCF(1467, 7868, 29918) = 1

HCF of 1467, 7868, 29918 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 1467, 7868, 29918 is 1.

Highest Common Factor of 1467,7868,29918 using Euclid's algorithm

Highest Common Factor of 1467,7868,29918 is 1

Step 1: Since 7868 > 1467, we apply the division lemma to 7868 and 1467, to get

7868 = 1467 x 5 + 533

Step 2: Since the reminder 1467 ≠ 0, we apply division lemma to 533 and 1467, to get

1467 = 533 x 2 + 401

Step 3: We consider the new divisor 533 and the new remainder 401, and apply the division lemma to get

533 = 401 x 1 + 132

We consider the new divisor 401 and the new remainder 132,and apply the division lemma to get

401 = 132 x 3 + 5

We consider the new divisor 132 and the new remainder 5,and apply the division lemma to get

132 = 5 x 26 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 1467 and 7868 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(132,5) = HCF(401,132) = HCF(533,401) = HCF(1467,533) = HCF(7868,1467) .

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

Step 1: Since 29918 > 1, we apply the division lemma to 29918 and 1, to get

29918 = 1 x 29918 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29918 is 1

Notice that 1 = HCF(29918,1) .

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Frequently Asked Questions on HCF of 1467, 7868, 29918 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 1467, 7868, 29918?

Answer: HCF of 1467, 7868, 29918 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1467, 7868, 29918 using Euclid's Algorithm?

Answer: For arbitrary numbers 1467, 7868, 29918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.