Highest Common Factor of 335, 464, 63 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 335, 464, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 335, 464, 63 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 335, 464, 63 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 335, 464, 63 is 1.

HCF(335, 464, 63) = 1

HCF of 335, 464, 63 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 335, 464, 63 is 1.

Highest Common Factor of 335,464,63 using Euclid's algorithm

Highest Common Factor of 335,464,63 is 1

Step 1: Since 464 > 335, we apply the division lemma to 464 and 335, to get

464 = 335 x 1 + 129

Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 129 and 335, to get

335 = 129 x 2 + 77

Step 3: We consider the new divisor 129 and the new remainder 77, and apply the division lemma to get

129 = 77 x 1 + 52

We consider the new divisor 77 and the new remainder 52,and apply the division lemma to get

77 = 52 x 1 + 25

We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get

52 = 25 x 2 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 335 and 464 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(129,77) = HCF(335,129) = HCF(464,335) .

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

Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get

63 = 1 x 63 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1

Notice that 1 = HCF(63,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 335, 464, 63 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 335, 464, 63?

Answer: HCF of 335, 464, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 335, 464, 63 using Euclid's Algorithm?

Answer: For arbitrary numbers 335, 464, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.