Highest Common Factor of 425, 540, 434 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 425, 540, 434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 425, 540, 434 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 425, 540, 434 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 425, 540, 434 is 1.

HCF(425, 540, 434) = 1

HCF of 425, 540, 434 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 425, 540, 434 is 1.

Highest Common Factor of 425,540,434 using Euclid's algorithm

Highest Common Factor of 425,540,434 is 1

Step 1: Since 540 > 425, we apply the division lemma to 540 and 425, to get

540 = 425 x 1 + 115

Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 115 and 425, to get

425 = 115 x 3 + 80

Step 3: We consider the new divisor 115 and the new remainder 80, and apply the division lemma to get

115 = 80 x 1 + 35

We consider the new divisor 80 and the new remainder 35,and apply the division lemma to get

80 = 35 x 2 + 10

We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get

35 = 10 x 3 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 425 and 540 is 5

Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(80,35) = HCF(115,80) = HCF(425,115) = HCF(540,425) .

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

Step 1: Since 434 > 5, we apply the division lemma to 434 and 5, to get

434 = 5 x 86 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 434 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(434,5) .

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Frequently Asked Questions on HCF of 425, 540, 434 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 425, 540, 434?

Answer: HCF of 425, 540, 434 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 425, 540, 434 using Euclid's Algorithm?

Answer: For arbitrary numbers 425, 540, 434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.