Highest Common Factor of 637, 989, 896 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 637, 989, 896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 637, 989, 896 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 637, 989, 896 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 637, 989, 896 is 1.

HCF(637, 989, 896) = 1

HCF of 637, 989, 896 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 637, 989, 896 is 1.

Highest Common Factor of 637,989,896 using Euclid's algorithm

Highest Common Factor of 637,989,896 is 1

Step 1: Since 989 > 637, we apply the division lemma to 989 and 637, to get

989 = 637 x 1 + 352

Step 2: Since the reminder 637 ≠ 0, we apply division lemma to 352 and 637, to get

637 = 352 x 1 + 285

Step 3: We consider the new divisor 352 and the new remainder 285, and apply the division lemma to get

352 = 285 x 1 + 67

We consider the new divisor 285 and the new remainder 67,and apply the division lemma to get

285 = 67 x 4 + 17

We consider the new divisor 67 and the new remainder 17,and apply the division lemma to get

67 = 17 x 3 + 16

We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get

17 = 16 x 1 + 1

We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get

16 = 1 x 16 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 637 and 989 is 1

Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(67,17) = HCF(285,67) = HCF(352,285) = HCF(637,352) = HCF(989,637) .

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

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

896 = 1 x 896 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 896 is 1

Notice that 1 = HCF(896,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 637, 989, 896 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 637, 989, 896?

Answer: HCF of 637, 989, 896 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 637, 989, 896 using Euclid's Algorithm?

Answer: For arbitrary numbers 637, 989, 896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.