Highest Common Factor of 764, 495, 463 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 764, 495, 463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 764, 495, 463 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 764, 495, 463 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 764, 495, 463 is 1.

HCF(764, 495, 463) = 1

HCF of 764, 495, 463 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 764, 495, 463 is 1.

Highest Common Factor of 764,495,463 using Euclid's algorithm

Highest Common Factor of 764,495,463 is 1

Step 1: Since 764 > 495, we apply the division lemma to 764 and 495, to get

764 = 495 x 1 + 269

Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 269 and 495, to get

495 = 269 x 1 + 226

Step 3: We consider the new divisor 269 and the new remainder 226, and apply the division lemma to get

269 = 226 x 1 + 43

We consider the new divisor 226 and the new remainder 43,and apply the division lemma to get

226 = 43 x 5 + 11

We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get

43 = 11 x 3 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 764 and 495 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(226,43) = HCF(269,226) = HCF(495,269) = HCF(764,495) .

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

Step 1: Since 463 > 1, we apply the division lemma to 463 and 1, to get

463 = 1 x 463 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 463 is 1

Notice that 1 = HCF(463,1) .

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Frequently Asked Questions on HCF of 764, 495, 463 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 764, 495, 463?

Answer: HCF of 764, 495, 463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 764, 495, 463 using Euclid's Algorithm?

Answer: For arbitrary numbers 764, 495, 463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.