Highest Common Factor of 764, 803, 302 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, 803, 302 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 764, 803, 302 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, 803, 302 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, 803, 302 is 1.

HCF(764, 803, 302) = 1

HCF of 764, 803, 302 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, 803, 302 is 1.

Highest Common Factor of 764,803,302 using Euclid's algorithm

Highest Common Factor of 764,803,302 is 1

Step 1: Since 803 > 764, we apply the division lemma to 803 and 764, to get

803 = 764 x 1 + 39

Step 2: Since the reminder 764 ≠ 0, we apply division lemma to 39 and 764, to get

764 = 39 x 19 + 23

Step 3: We consider the new divisor 39 and the new remainder 23, and apply the division lemma to get

39 = 23 x 1 + 16

We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get

23 = 16 x 1 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

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 764 and 803 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(39,23) = HCF(764,39) = HCF(803,764) .

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

Step 1: Since 302 > 1, we apply the division lemma to 302 and 1, to get

302 = 1 x 302 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 302 is 1

Notice that 1 = HCF(302,1) .

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Frequently Asked Questions on HCF of 764, 803, 302 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, 803, 302?

Answer: HCF of 764, 803, 302 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 764, 803, 302 using Euclid's Algorithm?

Answer: For arbitrary numbers 764, 803, 302 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.