Highest Common Factor of 429, 712, 195 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 429, 712, 195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 429, 712, 195 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 429, 712, 195 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 429, 712, 195 is 1.

HCF(429, 712, 195) = 1

HCF of 429, 712, 195 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 429, 712, 195 is 1.

Highest Common Factor of 429,712,195 using Euclid's algorithm

Highest Common Factor of 429,712,195 is 1

Step 1: Since 712 > 429, we apply the division lemma to 712 and 429, to get

712 = 429 x 1 + 283

Step 2: Since the reminder 429 ≠ 0, we apply division lemma to 283 and 429, to get

429 = 283 x 1 + 146

Step 3: We consider the new divisor 283 and the new remainder 146, and apply the division lemma to get

283 = 146 x 1 + 137

We consider the new divisor 146 and the new remainder 137,and apply the division lemma to get

146 = 137 x 1 + 9

We consider the new divisor 137 and the new remainder 9,and apply the division lemma to get

137 = 9 x 15 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 429 and 712 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(137,9) = HCF(146,137) = HCF(283,146) = HCF(429,283) = HCF(712,429) .

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

Step 1: Since 195 > 1, we apply the division lemma to 195 and 1, to get

195 = 1 x 195 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 195 is 1

Notice that 1 = HCF(195,1) .

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Frequently Asked Questions on HCF of 429, 712, 195 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 429, 712, 195?

Answer: HCF of 429, 712, 195 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 429, 712, 195 using Euclid's Algorithm?

Answer: For arbitrary numbers 429, 712, 195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.