Highest Common Factor of 896, 644, 993 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 896, 644, 993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 896, 644, 993 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 896, 644, 993 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 896, 644, 993 is 1.

HCF(896, 644, 993) = 1

HCF of 896, 644, 993 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 896, 644, 993 is 1.

Highest Common Factor of 896,644,993 using Euclid's algorithm

Highest Common Factor of 896,644,993 is 1

Step 1: Since 896 > 644, we apply the division lemma to 896 and 644, to get

896 = 644 x 1 + 252

Step 2: Since the reminder 644 ≠ 0, we apply division lemma to 252 and 644, to get

644 = 252 x 2 + 140

Step 3: We consider the new divisor 252 and the new remainder 140, and apply the division lemma to get

252 = 140 x 1 + 112

We consider the new divisor 140 and the new remainder 112,and apply the division lemma to get

140 = 112 x 1 + 28

We consider the new divisor 112 and the new remainder 28,and apply the division lemma to get

112 = 28 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 896 and 644 is 28

Notice that 28 = HCF(112,28) = HCF(140,112) = HCF(252,140) = HCF(644,252) = HCF(896,644) .

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

Step 1: Since 993 > 28, we apply the division lemma to 993 and 28, to get

993 = 28 x 35 + 13

Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 13 and 28, to get

28 = 13 x 2 + 2

Step 3: We consider the new divisor 13 and the new remainder 2, and apply the division lemma to get

13 = 2 x 6 + 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 28 and 993 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(993,28) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 896, 644, 993 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 896, 644, 993?

Answer: HCF of 896, 644, 993 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 896, 644, 993 using Euclid's Algorithm?

Answer: For arbitrary numbers 896, 644, 993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.