Highest Common Factor of 5340, 9686, 89557 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 5340, 9686, 89557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5340, 9686, 89557 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 5340, 9686, 89557 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 5340, 9686, 89557 is 1.

HCF(5340, 9686, 89557) = 1

HCF of 5340, 9686, 89557 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 5340, 9686, 89557 is 1.

Highest Common Factor of 5340,9686,89557 using Euclid's algorithm

Highest Common Factor of 5340,9686,89557 is 1

Step 1: Since 9686 > 5340, we apply the division lemma to 9686 and 5340, to get

9686 = 5340 x 1 + 4346

Step 2: Since the reminder 5340 ≠ 0, we apply division lemma to 4346 and 5340, to get

5340 = 4346 x 1 + 994

Step 3: We consider the new divisor 4346 and the new remainder 994, and apply the division lemma to get

4346 = 994 x 4 + 370

We consider the new divisor 994 and the new remainder 370,and apply the division lemma to get

994 = 370 x 2 + 254

We consider the new divisor 370 and the new remainder 254,and apply the division lemma to get

370 = 254 x 1 + 116

We consider the new divisor 254 and the new remainder 116,and apply the division lemma to get

254 = 116 x 2 + 22

We consider the new divisor 116 and the new remainder 22,and apply the division lemma to get

116 = 22 x 5 + 6

We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get

22 = 6 x 3 + 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 5340 and 9686 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(116,22) = HCF(254,116) = HCF(370,254) = HCF(994,370) = HCF(4346,994) = HCF(5340,4346) = HCF(9686,5340) .

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

Step 1: Since 89557 > 2, we apply the division lemma to 89557 and 2, to get

89557 = 2 x 44778 + 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 89557 is 1

Notice that 1 = HCF(2,1) = HCF(89557,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5340, 9686, 89557 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 5340, 9686, 89557?

Answer: HCF of 5340, 9686, 89557 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5340, 9686, 89557 using Euclid's Algorithm?

Answer: For arbitrary numbers 5340, 9686, 89557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.