Highest Common Factor of 481, 778, 909, 435 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 481, 778, 909, 435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 481, 778, 909, 435 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 481, 778, 909, 435 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 481, 778, 909, 435 is 1.

HCF(481, 778, 909, 435) = 1

HCF of 481, 778, 909, 435 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 481, 778, 909, 435 is 1.

Highest Common Factor of 481,778,909,435 using Euclid's algorithm

Highest Common Factor of 481,778,909,435 is 1

Step 1: Since 778 > 481, we apply the division lemma to 778 and 481, to get

778 = 481 x 1 + 297

Step 2: Since the reminder 481 ≠ 0, we apply division lemma to 297 and 481, to get

481 = 297 x 1 + 184

Step 3: We consider the new divisor 297 and the new remainder 184, and apply the division lemma to get

297 = 184 x 1 + 113

We consider the new divisor 184 and the new remainder 113,and apply the division lemma to get

184 = 113 x 1 + 71

We consider the new divisor 113 and the new remainder 71,and apply the division lemma to get

113 = 71 x 1 + 42

We consider the new divisor 71 and the new remainder 42,and apply the division lemma to get

71 = 42 x 1 + 29

We consider the new divisor 42 and the new remainder 29,and apply the division lemma to get

42 = 29 x 1 + 13

We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get

29 = 13 x 2 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 481 and 778 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(42,29) = HCF(71,42) = HCF(113,71) = HCF(184,113) = HCF(297,184) = HCF(481,297) = HCF(778,481) .

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

Step 1: Since 909 > 1, we apply the division lemma to 909 and 1, to get

909 = 1 x 909 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 909 is 1

Notice that 1 = HCF(909,1) .

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

Step 1: Since 435 > 1, we apply the division lemma to 435 and 1, to get

435 = 1 x 435 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 435 is 1

Notice that 1 = HCF(435,1) .

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Frequently Asked Questions on HCF of 481, 778, 909, 435 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 481, 778, 909, 435?

Answer: HCF of 481, 778, 909, 435 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 481, 778, 909, 435 using Euclid's Algorithm?

Answer: For arbitrary numbers 481, 778, 909, 435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.