Highest Common Factor of 3278, 4798, 42821 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 3278, 4798, 42821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3278, 4798, 42821 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 3278, 4798, 42821 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 3278, 4798, 42821 is 1.

HCF(3278, 4798, 42821) = 1

HCF of 3278, 4798, 42821 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 3278, 4798, 42821 is 1.

Highest Common Factor of 3278,4798,42821 using Euclid's algorithm

Highest Common Factor of 3278,4798,42821 is 1

Step 1: Since 4798 > 3278, we apply the division lemma to 4798 and 3278, to get

4798 = 3278 x 1 + 1520

Step 2: Since the reminder 3278 ≠ 0, we apply division lemma to 1520 and 3278, to get

3278 = 1520 x 2 + 238

Step 3: We consider the new divisor 1520 and the new remainder 238, and apply the division lemma to get

1520 = 238 x 6 + 92

We consider the new divisor 238 and the new remainder 92,and apply the division lemma to get

238 = 92 x 2 + 54

We consider the new divisor 92 and the new remainder 54,and apply the division lemma to get

92 = 54 x 1 + 38

We consider the new divisor 54 and the new remainder 38,and apply the division lemma to get

54 = 38 x 1 + 16

We consider the new divisor 38 and the new remainder 16,and apply the division lemma to get

38 = 16 x 2 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3278 and 4798 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(38,16) = HCF(54,38) = HCF(92,54) = HCF(238,92) = HCF(1520,238) = HCF(3278,1520) = HCF(4798,3278) .

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

Step 1: Since 42821 > 2, we apply the division lemma to 42821 and 2, to get

42821 = 2 x 21410 + 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 42821 is 1

Notice that 1 = HCF(2,1) = HCF(42821,2) .

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Frequently Asked Questions on HCF of 3278, 4798, 42821 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 3278, 4798, 42821?

Answer: HCF of 3278, 4798, 42821 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3278, 4798, 42821 using Euclid's Algorithm?

Answer: For arbitrary numbers 3278, 4798, 42821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.