Highest Common Factor of 3048, 8336, 46435 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 3048, 8336, 46435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3048, 8336, 46435 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 3048, 8336, 46435 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 3048, 8336, 46435 is 1.

HCF(3048, 8336, 46435) = 1

HCF of 3048, 8336, 46435 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 3048, 8336, 46435 is 1.

Highest Common Factor of 3048,8336,46435 using Euclid's algorithm

Highest Common Factor of 3048,8336,46435 is 1

Step 1: Since 8336 > 3048, we apply the division lemma to 8336 and 3048, to get

8336 = 3048 x 2 + 2240

Step 2: Since the reminder 3048 ≠ 0, we apply division lemma to 2240 and 3048, to get

3048 = 2240 x 1 + 808

Step 3: We consider the new divisor 2240 and the new remainder 808, and apply the division lemma to get

2240 = 808 x 2 + 624

We consider the new divisor 808 and the new remainder 624,and apply the division lemma to get

808 = 624 x 1 + 184

We consider the new divisor 624 and the new remainder 184,and apply the division lemma to get

624 = 184 x 3 + 72

We consider the new divisor 184 and the new remainder 72,and apply the division lemma to get

184 = 72 x 2 + 40

We consider the new divisor 72 and the new remainder 40,and apply the division lemma to get

72 = 40 x 1 + 32

We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get

40 = 32 x 1 + 8

We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get

32 = 8 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3048 and 8336 is 8

Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(72,40) = HCF(184,72) = HCF(624,184) = HCF(808,624) = HCF(2240,808) = HCF(3048,2240) = HCF(8336,3048) .

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

Step 1: Since 46435 > 8, we apply the division lemma to 46435 and 8, to get

46435 = 8 x 5804 + 3

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 3 and 8, to get

8 = 3 x 2 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 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 8 and 46435 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(46435,8) .

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Frequently Asked Questions on HCF of 3048, 8336, 46435 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 3048, 8336, 46435?

Answer: HCF of 3048, 8336, 46435 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3048, 8336, 46435 using Euclid's Algorithm?

Answer: For arbitrary numbers 3048, 8336, 46435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.