Highest Common Factor of 752, 481, 366, 63 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 752, 481, 366, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 752, 481, 366, 63 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 752, 481, 366, 63 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 752, 481, 366, 63 is 1.

HCF(752, 481, 366, 63) = 1

HCF of 752, 481, 366, 63 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 752, 481, 366, 63 is 1.

Highest Common Factor of 752,481,366,63 using Euclid's algorithm

Highest Common Factor of 752,481,366,63 is 1

Step 1: Since 752 > 481, we apply the division lemma to 752 and 481, to get

752 = 481 x 1 + 271

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 271 and 481, to get

481 = 271 x 1 + 210

Step 3: We consider the new divisor 271 and the new remainder 210, and apply the division lemma to get

271 = 210 x 1 + 61

We consider the new divisor 210 and the new remainder 61,and apply the division lemma to get

210 = 61 x 3 + 27

We consider the new divisor 61 and the new remainder 27,and apply the division lemma to get

61 = 27 x 2 + 7

We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get

27 = 7 x 3 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 752 and 481 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(61,27) = HCF(210,61) = HCF(271,210) = HCF(481,271) = HCF(752,481) .

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

Step 1: Since 366 > 1, we apply the division lemma to 366 and 1, to get

366 = 1 x 366 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 366 is 1

Notice that 1 = HCF(366,1) .

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

Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get

63 = 1 x 63 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1

Notice that 1 = HCF(63,1) .

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Frequently Asked Questions on HCF of 752, 481, 366, 63 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 752, 481, 366, 63?

Answer: HCF of 752, 481, 366, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 752, 481, 366, 63 using Euclid's Algorithm?

Answer: For arbitrary numbers 752, 481, 366, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.