Highest Common Factor of 429, 727, 922 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, 727, 922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 429, 727, 922 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, 727, 922 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, 727, 922 is 1.

HCF(429, 727, 922) = 1

HCF of 429, 727, 922 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, 727, 922 is 1.

Highest Common Factor of 429,727,922 using Euclid's algorithm

Highest Common Factor of 429,727,922 is 1

Step 1: Since 727 > 429, we apply the division lemma to 727 and 429, to get

727 = 429 x 1 + 298

Step 2: Since the reminder 429 ≠ 0, we apply division lemma to 298 and 429, to get

429 = 298 x 1 + 131

Step 3: We consider the new divisor 298 and the new remainder 131, and apply the division lemma to get

298 = 131 x 2 + 36

We consider the new divisor 131 and the new remainder 36,and apply the division lemma to get

131 = 36 x 3 + 23

We consider the new divisor 36 and the new remainder 23,and apply the division lemma to get

36 = 23 x 1 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 429 and 727 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(36,23) = HCF(131,36) = HCF(298,131) = HCF(429,298) = HCF(727,429) .


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

Step 1: Since 922 > 1, we apply the division lemma to 922 and 1, to get

922 = 1 x 922 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 922 is 1

Notice that 1 = HCF(922,1) .

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Frequently Asked Questions on HCF of 429, 727, 922 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, 727, 922?

Answer: HCF of 429, 727, 922 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 429, 727, 922 using Euclid's Algorithm?

Answer: For arbitrary numbers 429, 727, 922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.