Highest Common Factor of 4335, 7639, 63402 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 4335, 7639, 63402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4335, 7639, 63402 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 4335, 7639, 63402 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 4335, 7639, 63402 is 1.

HCF(4335, 7639, 63402) = 1

HCF of 4335, 7639, 63402 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 4335, 7639, 63402 is 1.

Highest Common Factor of 4335,7639,63402 using Euclid's algorithm

Highest Common Factor of 4335,7639,63402 is 1

Step 1: Since 7639 > 4335, we apply the division lemma to 7639 and 4335, to get

7639 = 4335 x 1 + 3304

Step 2: Since the reminder 4335 ≠ 0, we apply division lemma to 3304 and 4335, to get

4335 = 3304 x 1 + 1031

Step 3: We consider the new divisor 3304 and the new remainder 1031, and apply the division lemma to get

3304 = 1031 x 3 + 211

We consider the new divisor 1031 and the new remainder 211,and apply the division lemma to get

1031 = 211 x 4 + 187

We consider the new divisor 211 and the new remainder 187,and apply the division lemma to get

211 = 187 x 1 + 24

We consider the new divisor 187 and the new remainder 24,and apply the division lemma to get

187 = 24 x 7 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4335 and 7639 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(187,24) = HCF(211,187) = HCF(1031,211) = HCF(3304,1031) = HCF(4335,3304) = HCF(7639,4335) .

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

Step 1: Since 63402 > 1, we apply the division lemma to 63402 and 1, to get

63402 = 1 x 63402 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63402 is 1

Notice that 1 = HCF(63402,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4335, 7639, 63402 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 4335, 7639, 63402?

Answer: HCF of 4335, 7639, 63402 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4335, 7639, 63402 using Euclid's Algorithm?

Answer: For arbitrary numbers 4335, 7639, 63402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.