Highest Common Factor of 480, 773, 292, 81 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 480, 773, 292, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 480, 773, 292, 81 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 480, 773, 292, 81 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 480, 773, 292, 81 is 1.

HCF(480, 773, 292, 81) = 1

HCF of 480, 773, 292, 81 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 480, 773, 292, 81 is 1.

Highest Common Factor of 480,773,292,81 using Euclid's algorithm

Highest Common Factor of 480,773,292,81 is 1

Step 1: Since 773 > 480, we apply the division lemma to 773 and 480, to get

773 = 480 x 1 + 293

Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 293 and 480, to get

480 = 293 x 1 + 187

Step 3: We consider the new divisor 293 and the new remainder 187, and apply the division lemma to get

293 = 187 x 1 + 106

We consider the new divisor 187 and the new remainder 106,and apply the division lemma to get

187 = 106 x 1 + 81

We consider the new divisor 106 and the new remainder 81,and apply the division lemma to get

106 = 81 x 1 + 25

We consider the new divisor 81 and the new remainder 25,and apply the division lemma to get

81 = 25 x 3 + 6

We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get

25 = 6 x 4 + 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 480 and 773 is 1

Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(81,25) = HCF(106,81) = HCF(187,106) = HCF(293,187) = HCF(480,293) = HCF(773,480) .

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

Step 1: Since 292 > 1, we apply the division lemma to 292 and 1, to get

292 = 1 x 292 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 292 is 1

Notice that 1 = HCF(292,1) .

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

Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1

Notice that 1 = HCF(81,1) .

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Frequently Asked Questions on HCF of 480, 773, 292, 81 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 480, 773, 292, 81?

Answer: HCF of 480, 773, 292, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 480, 773, 292, 81 using Euclid's Algorithm?

Answer: For arbitrary numbers 480, 773, 292, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.