Highest Common Factor of 628, 953, 505 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 628, 953, 505 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 628, 953, 505 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 628, 953, 505 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 628, 953, 505 is 1.

HCF(628, 953, 505) = 1

HCF of 628, 953, 505 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 628, 953, 505 is 1.

Highest Common Factor of 628,953,505 using Euclid's algorithm

Highest Common Factor of 628,953,505 is 1

Step 1: Since 953 > 628, we apply the division lemma to 953 and 628, to get

953 = 628 x 1 + 325

Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 325 and 628, to get

628 = 325 x 1 + 303

Step 3: We consider the new divisor 325 and the new remainder 303, and apply the division lemma to get

325 = 303 x 1 + 22

We consider the new divisor 303 and the new remainder 22,and apply the division lemma to get

303 = 22 x 13 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 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 628 and 953 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(303,22) = HCF(325,303) = HCF(628,325) = HCF(953,628) .

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

Step 1: Since 505 > 1, we apply the division lemma to 505 and 1, to get

505 = 1 x 505 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 505 is 1

Notice that 1 = HCF(505,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 628, 953, 505 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 628, 953, 505?

Answer: HCF of 628, 953, 505 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 628, 953, 505 using Euclid's Algorithm?

Answer: For arbitrary numbers 628, 953, 505 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.