Highest Common Factor of 658, 564, 16, 497 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 658, 564, 16, 497 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 658, 564, 16, 497 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 658, 564, 16, 497 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 658, 564, 16, 497 is 1.

HCF(658, 564, 16, 497) = 1

HCF of 658, 564, 16, 497 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 658, 564, 16, 497 is 1.

Highest Common Factor of 658,564,16,497 using Euclid's algorithm

Highest Common Factor of 658,564,16,497 is 1

Step 1: Since 658 > 564, we apply the division lemma to 658 and 564, to get

658 = 564 x 1 + 94

Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 94 and 564, to get

564 = 94 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 94, the HCF of 658 and 564 is 94

Notice that 94 = HCF(564,94) = HCF(658,564) .


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

Step 1: Since 94 > 16, we apply the division lemma to 94 and 16, to get

94 = 16 x 5 + 14

Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 14 and 16, to get

16 = 14 x 1 + 2

Step 3: We consider the new divisor 14 and the new remainder 2, and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 94 and 16 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(94,16) .


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

Step 1: Since 497 > 2, we apply the division lemma to 497 and 2, to get

497 = 2 x 248 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 497 is 1

Notice that 1 = HCF(2,1) = HCF(497,2) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 658, 564, 16, 497 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 658, 564, 16, 497?

Answer: HCF of 658, 564, 16, 497 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 658, 564, 16, 497 using Euclid's Algorithm?

Answer: For arbitrary numbers 658, 564, 16, 497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.