Highest Common Factor of 495, 792, 575 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 495, 792, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 495, 792, 575 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 495, 792, 575 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 495, 792, 575 is 1.

HCF(495, 792, 575) = 1

HCF of 495, 792, 575 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 495, 792, 575 is 1.

Highest Common Factor of 495,792,575 using Euclid's algorithm

Highest Common Factor of 495,792,575 is 1

Step 1: Since 792 > 495, we apply the division lemma to 792 and 495, to get

792 = 495 x 1 + 297

Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 297 and 495, to get

495 = 297 x 1 + 198

Step 3: We consider the new divisor 297 and the new remainder 198, and apply the division lemma to get

297 = 198 x 1 + 99

We consider the new divisor 198 and the new remainder 99, and apply the division lemma to get

198 = 99 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 99, the HCF of 495 and 792 is 99

Notice that 99 = HCF(198,99) = HCF(297,198) = HCF(495,297) = HCF(792,495) .

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

Step 1: Since 575 > 99, we apply the division lemma to 575 and 99, to get

575 = 99 x 5 + 80

Step 2: Since the reminder 99 ≠ 0, we apply division lemma to 80 and 99, to get

99 = 80 x 1 + 19

Step 3: We consider the new divisor 80 and the new remainder 19, and apply the division lemma to get

80 = 19 x 4 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 99 and 575 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(80,19) = HCF(99,80) = HCF(575,99) .

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Frequently Asked Questions on HCF of 495, 792, 575 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 495, 792, 575?

Answer: HCF of 495, 792, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 495, 792, 575 using Euclid's Algorithm?

Answer: For arbitrary numbers 495, 792, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.