Highest Common Factor of 628, 962, 546 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, 962, 546 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 628, 962, 546 is 2 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, 962, 546 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, 962, 546 is 2.

HCF(628, 962, 546) = 2

HCF of 628, 962, 546 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, 962, 546 is 2.

Highest Common Factor of 628,962,546 using Euclid's algorithm

Highest Common Factor of 628,962,546 is 2

Step 1: Since 962 > 628, we apply the division lemma to 962 and 628, to get

962 = 628 x 1 + 334

Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 334 and 628, to get

628 = 334 x 1 + 294

Step 3: We consider the new divisor 334 and the new remainder 294, and apply the division lemma to get

334 = 294 x 1 + 40

We consider the new divisor 294 and the new remainder 40,and apply the division lemma to get

294 = 40 x 7 + 14

We consider the new divisor 40 and the new remainder 14,and apply the division lemma to get

40 = 14 x 2 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 628 and 962 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(40,14) = HCF(294,40) = HCF(334,294) = HCF(628,334) = HCF(962,628) .

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

Step 1: Since 546 > 2, we apply the division lemma to 546 and 2, to get

546 = 2 x 273 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 546 is 2

Notice that 2 = HCF(546,2) .

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, 962, 546 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, 962, 546?

Answer: HCF of 628, 962, 546 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 628, 962, 546 using Euclid's Algorithm?

Answer: For arbitrary numbers 628, 962, 546 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.