Highest Common Factor of 2993, 1672, 99558 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 2993, 1672, 99558 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2993, 1672, 99558 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 2993, 1672, 99558 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 2993, 1672, 99558 is 1.

HCF(2993, 1672, 99558) = 1

HCF of 2993, 1672, 99558 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 2993, 1672, 99558 is 1.

Highest Common Factor of 2993,1672,99558 using Euclid's algorithm

Highest Common Factor of 2993,1672,99558 is 1

Step 1: Since 2993 > 1672, we apply the division lemma to 2993 and 1672, to get

2993 = 1672 x 1 + 1321

Step 2: Since the reminder 1672 ≠ 0, we apply division lemma to 1321 and 1672, to get

1672 = 1321 x 1 + 351

Step 3: We consider the new divisor 1321 and the new remainder 351, and apply the division lemma to get

1321 = 351 x 3 + 268

We consider the new divisor 351 and the new remainder 268,and apply the division lemma to get

351 = 268 x 1 + 83

We consider the new divisor 268 and the new remainder 83,and apply the division lemma to get

268 = 83 x 3 + 19

We consider the new divisor 83 and the new remainder 19,and apply the division lemma to get

83 = 19 x 4 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2993 and 1672 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(83,19) = HCF(268,83) = HCF(351,268) = HCF(1321,351) = HCF(1672,1321) = HCF(2993,1672) .

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

Step 1: Since 99558 > 1, we apply the division lemma to 99558 and 1, to get

99558 = 1 x 99558 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99558 is 1

Notice that 1 = HCF(99558,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 2993, 1672, 99558 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 2993, 1672, 99558?

Answer: HCF of 2993, 1672, 99558 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2993, 1672, 99558 using Euclid's Algorithm?

Answer: For arbitrary numbers 2993, 1672, 99558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.