Highest Common Factor of 495, 813, 251 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, 813, 251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 495, 813, 251 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, 813, 251 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, 813, 251 is 1.

HCF(495, 813, 251) = 1

HCF of 495, 813, 251 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, 813, 251 is 1.

Highest Common Factor of 495,813,251 using Euclid's algorithm

Highest Common Factor of 495,813,251 is 1

Step 1: Since 813 > 495, we apply the division lemma to 813 and 495, to get

813 = 495 x 1 + 318

Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 318 and 495, to get

495 = 318 x 1 + 177

Step 3: We consider the new divisor 318 and the new remainder 177, and apply the division lemma to get

318 = 177 x 1 + 141

We consider the new divisor 177 and the new remainder 141,and apply the division lemma to get

177 = 141 x 1 + 36

We consider the new divisor 141 and the new remainder 36,and apply the division lemma to get

141 = 36 x 3 + 33

We consider the new divisor 36 and the new remainder 33,and apply the division lemma to get

36 = 33 x 1 + 3

We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get

33 = 3 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 495 and 813 is 3

Notice that 3 = HCF(33,3) = HCF(36,33) = HCF(141,36) = HCF(177,141) = HCF(318,177) = HCF(495,318) = HCF(813,495) .

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

Step 1: Since 251 > 3, we apply the division lemma to 251 and 3, to get

251 = 3 x 83 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 251 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(251,3) .

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Frequently Asked Questions on HCF of 495, 813, 251 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, 813, 251?

Answer: HCF of 495, 813, 251 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 495, 813, 251 using Euclid's Algorithm?

Answer: For arbitrary numbers 495, 813, 251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.