Highest Common Factor of 940, 585, 430 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 940, 585, 430 i.e. 5 the largest integer that leaves a remainder zero for all numbers.

HCF of 940, 585, 430 is 5 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 940, 585, 430 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 940, 585, 430 is 5.

HCF(940, 585, 430) = 5

HCF of 940, 585, 430 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 940, 585, 430 is 5.

Highest Common Factor of 940,585,430 using Euclid's algorithm

Highest Common Factor of 940,585,430 is 5

Step 1: Since 940 > 585, we apply the division lemma to 940 and 585, to get

940 = 585 x 1 + 355

Step 2: Since the reminder 585 ≠ 0, we apply division lemma to 355 and 585, to get

585 = 355 x 1 + 230

Step 3: We consider the new divisor 355 and the new remainder 230, and apply the division lemma to get

355 = 230 x 1 + 125

We consider the new divisor 230 and the new remainder 125,and apply the division lemma to get

230 = 125 x 1 + 105

We consider the new divisor 125 and the new remainder 105,and apply the division lemma to get

125 = 105 x 1 + 20

We consider the new divisor 105 and the new remainder 20,and apply the division lemma to get

105 = 20 x 5 + 5

We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get

20 = 5 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 940 and 585 is 5

Notice that 5 = HCF(20,5) = HCF(105,20) = HCF(125,105) = HCF(230,125) = HCF(355,230) = HCF(585,355) = HCF(940,585) .

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

Step 1: Since 430 > 5, we apply the division lemma to 430 and 5, to get

430 = 5 x 86 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 430 is 5

Notice that 5 = HCF(430,5) .

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Frequently Asked Questions on HCF of 940, 585, 430 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 940, 585, 430?

Answer: HCF of 940, 585, 430 is 5 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 940, 585, 430 using Euclid's Algorithm?

Answer: For arbitrary numbers 940, 585, 430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.