Highest Common Factor of 828, 7474, 3959 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 828, 7474, 3959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 828, 7474, 3959 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 828, 7474, 3959 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 828, 7474, 3959 is 1.

HCF(828, 7474, 3959) = 1

HCF of 828, 7474, 3959 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 828, 7474, 3959 is 1.

Highest Common Factor of 828,7474,3959 using Euclid's algorithm

Highest Common Factor of 828,7474,3959 is 1

Step 1: Since 7474 > 828, we apply the division lemma to 7474 and 828, to get

7474 = 828 x 9 + 22

Step 2: Since the reminder 828 ≠ 0, we apply division lemma to 22 and 828, to get

828 = 22 x 37 + 14

Step 3: We consider the new divisor 22 and the new remainder 14, and apply the division lemma to get

22 = 14 x 1 + 8

We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get

14 = 8 x 1 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 828 and 7474 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(828,22) = HCF(7474,828) .

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

Step 1: Since 3959 > 2, we apply the division lemma to 3959 and 2, to get

3959 = 2 x 1979 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 3959 is 1

Notice that 1 = HCF(2,1) = HCF(3959,2) .

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Frequently Asked Questions on HCF of 828, 7474, 3959 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 828, 7474, 3959?

Answer: HCF of 828, 7474, 3959 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 828, 7474, 3959 using Euclid's Algorithm?

Answer: For arbitrary numbers 828, 7474, 3959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.