Highest Common Factor of 775, 482, 30 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 775, 482, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 775, 482, 30 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 775, 482, 30 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 775, 482, 30 is 1.

HCF(775, 482, 30) = 1

HCF of 775, 482, 30 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 775, 482, 30 is 1.

Highest Common Factor of 775,482,30 using Euclid's algorithm

Highest Common Factor of 775,482,30 is 1

Step 1: Since 775 > 482, we apply the division lemma to 775 and 482, to get

775 = 482 x 1 + 293

Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 293 and 482, to get

482 = 293 x 1 + 189

Step 3: We consider the new divisor 293 and the new remainder 189, and apply the division lemma to get

293 = 189 x 1 + 104

We consider the new divisor 189 and the new remainder 104,and apply the division lemma to get

189 = 104 x 1 + 85

We consider the new divisor 104 and the new remainder 85,and apply the division lemma to get

104 = 85 x 1 + 19

We consider the new divisor 85 and the new remainder 19,and apply the division lemma to get

85 = 19 x 4 + 9

We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get

19 = 9 x 2 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 775 and 482 is 1

Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(85,19) = HCF(104,85) = HCF(189,104) = HCF(293,189) = HCF(482,293) = HCF(775,482) .

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

Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1

Notice that 1 = HCF(30,1) .

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Frequently Asked Questions on HCF of 775, 482, 30 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 775, 482, 30?

Answer: HCF of 775, 482, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 775, 482, 30 using Euclid's Algorithm?

Answer: For arbitrary numbers 775, 482, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.