Highest Common Factor of 4618, 8926, 94967 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 4618, 8926, 94967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4618, 8926, 94967 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 4618, 8926, 94967 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 4618, 8926, 94967 is 1.

HCF(4618, 8926, 94967) = 1

HCF of 4618, 8926, 94967 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 4618, 8926, 94967 is 1.

Highest Common Factor of 4618,8926,94967 using Euclid's algorithm

Highest Common Factor of 4618,8926,94967 is 1

Step 1: Since 8926 > 4618, we apply the division lemma to 8926 and 4618, to get

8926 = 4618 x 1 + 4308

Step 2: Since the reminder 4618 ≠ 0, we apply division lemma to 4308 and 4618, to get

4618 = 4308 x 1 + 310

Step 3: We consider the new divisor 4308 and the new remainder 310, and apply the division lemma to get

4308 = 310 x 13 + 278

We consider the new divisor 310 and the new remainder 278,and apply the division lemma to get

310 = 278 x 1 + 32

We consider the new divisor 278 and the new remainder 32,and apply the division lemma to get

278 = 32 x 8 + 22

We consider the new divisor 32 and the new remainder 22,and apply the division lemma to get

32 = 22 x 1 + 10

We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get

22 = 10 x 2 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4618 and 8926 is 2

Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(32,22) = HCF(278,32) = HCF(310,278) = HCF(4308,310) = HCF(4618,4308) = HCF(8926,4618) .

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

Step 1: Since 94967 > 2, we apply the division lemma to 94967 and 2, to get

94967 = 2 x 47483 + 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 94967 is 1

Notice that 1 = HCF(2,1) = HCF(94967,2) .

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Frequently Asked Questions on HCF of 4618, 8926, 94967 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 4618, 8926, 94967?

Answer: HCF of 4618, 8926, 94967 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4618, 8926, 94967 using Euclid's Algorithm?

Answer: For arbitrary numbers 4618, 8926, 94967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.