Highest Common Factor of 790, 488, 143, 953 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 790, 488, 143, 953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 790, 488, 143, 953 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 790, 488, 143, 953 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 790, 488, 143, 953 is 1.

HCF(790, 488, 143, 953) = 1

HCF of 790, 488, 143, 953 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 790, 488, 143, 953 is 1.

Highest Common Factor of 790,488,143,953 using Euclid's algorithm

Highest Common Factor of 790,488,143,953 is 1

Step 1: Since 790 > 488, we apply the division lemma to 790 and 488, to get

790 = 488 x 1 + 302

Step 2: Since the reminder 488 ≠ 0, we apply division lemma to 302 and 488, to get

488 = 302 x 1 + 186

Step 3: We consider the new divisor 302 and the new remainder 186, and apply the division lemma to get

302 = 186 x 1 + 116

We consider the new divisor 186 and the new remainder 116,and apply the division lemma to get

186 = 116 x 1 + 70

We consider the new divisor 116 and the new remainder 70,and apply the division lemma to get

116 = 70 x 1 + 46

We consider the new divisor 70 and the new remainder 46,and apply the division lemma to get

70 = 46 x 1 + 24

We consider the new divisor 46 and the new remainder 24,and apply the division lemma to get

46 = 24 x 1 + 22

We consider the new divisor 24 and the new remainder 22,and apply the division lemma to get

24 = 22 x 1 + 2

We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get

22 = 2 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 790 and 488 is 2

Notice that 2 = HCF(22,2) = HCF(24,22) = HCF(46,24) = HCF(70,46) = HCF(116,70) = HCF(186,116) = HCF(302,186) = HCF(488,302) = HCF(790,488) .

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

Step 1: Since 143 > 2, we apply the division lemma to 143 and 2, to get

143 = 2 x 71 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 143 is 1

Notice that 1 = HCF(2,1) = HCF(143,2) .

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

Step 1: Since 953 > 1, we apply the division lemma to 953 and 1, to get

953 = 1 x 953 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 953 is 1

Notice that 1 = HCF(953,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 790, 488, 143, 953 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 790, 488, 143, 953?

Answer: HCF of 790, 488, 143, 953 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 790, 488, 143, 953 using Euclid's Algorithm?

Answer: For arbitrary numbers 790, 488, 143, 953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.