Highest Common Factor of 694, 432, 425 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 694, 432, 425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 694, 432, 425 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 694, 432, 425 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 694, 432, 425 is 1.

HCF(694, 432, 425) = 1

HCF of 694, 432, 425 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 694, 432, 425 is 1.

Highest Common Factor of 694,432,425 using Euclid's algorithm

Highest Common Factor of 694,432,425 is 1

Step 1: Since 694 > 432, we apply the division lemma to 694 and 432, to get

694 = 432 x 1 + 262

Step 2: Since the reminder 432 ≠ 0, we apply division lemma to 262 and 432, to get

432 = 262 x 1 + 170

Step 3: We consider the new divisor 262 and the new remainder 170, and apply the division lemma to get

262 = 170 x 1 + 92

We consider the new divisor 170 and the new remainder 92,and apply the division lemma to get

170 = 92 x 1 + 78

We consider the new divisor 92 and the new remainder 78,and apply the division lemma to get

92 = 78 x 1 + 14

We consider the new divisor 78 and the new remainder 14,and apply the division lemma to get

78 = 14 x 5 + 8

We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get

14 = 8 x 1 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 694 and 432 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(78,14) = HCF(92,78) = HCF(170,92) = HCF(262,170) = HCF(432,262) = HCF(694,432) .

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

Step 1: Since 425 > 2, we apply the division lemma to 425 and 2, to get

425 = 2 x 212 + 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 425 is 1

Notice that 1 = HCF(2,1) = HCF(425,2) .

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Frequently Asked Questions on HCF of 694, 432, 425 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 694, 432, 425?

Answer: HCF of 694, 432, 425 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 694, 432, 425 using Euclid's Algorithm?

Answer: For arbitrary numbers 694, 432, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.