Highest Common Factor of 763, 468, 253, 386 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 763, 468, 253, 386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 763, 468, 253, 386 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 763, 468, 253, 386 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 763, 468, 253, 386 is 1.

HCF(763, 468, 253, 386) = 1

HCF of 763, 468, 253, 386 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 763, 468, 253, 386 is 1.

Highest Common Factor of 763,468,253,386 using Euclid's algorithm

Highest Common Factor of 763,468,253,386 is 1

Step 1: Since 763 > 468, we apply the division lemma to 763 and 468, to get

763 = 468 x 1 + 295

Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 295 and 468, to get

468 = 295 x 1 + 173

Step 3: We consider the new divisor 295 and the new remainder 173, and apply the division lemma to get

295 = 173 x 1 + 122

We consider the new divisor 173 and the new remainder 122,and apply the division lemma to get

173 = 122 x 1 + 51

We consider the new divisor 122 and the new remainder 51,and apply the division lemma to get

122 = 51 x 2 + 20

We consider the new divisor 51 and the new remainder 20,and apply the division lemma to get

51 = 20 x 2 + 11

We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get

20 = 11 x 1 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 763 and 468 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(51,20) = HCF(122,51) = HCF(173,122) = HCF(295,173) = HCF(468,295) = HCF(763,468) .

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

Step 1: Since 253 > 1, we apply the division lemma to 253 and 1, to get

253 = 1 x 253 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 253 is 1

Notice that 1 = HCF(253,1) .

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

Step 1: Since 386 > 1, we apply the division lemma to 386 and 1, to get

386 = 1 x 386 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 386 is 1

Notice that 1 = HCF(386,1) .

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Frequently Asked Questions on HCF of 763, 468, 253, 386 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 763, 468, 253, 386?

Answer: HCF of 763, 468, 253, 386 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 763, 468, 253, 386 using Euclid's Algorithm?

Answer: For arbitrary numbers 763, 468, 253, 386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.