Highest Common Factor of 929, 736 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 929, 736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 929, 736 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 929, 736 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 929, 736 is 1.

HCF(929, 736) = 1

HCF of 929, 736 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 929, 736 is 1.

Highest Common Factor of 929,736 using Euclid's algorithm

Highest Common Factor of 929,736 is 1

Step 1: Since 929 > 736, we apply the division lemma to 929 and 736, to get

929 = 736 x 1 + 193

Step 2: Since the reminder 736 ≠ 0, we apply division lemma to 193 and 736, to get

736 = 193 x 3 + 157

Step 3: We consider the new divisor 193 and the new remainder 157, and apply the division lemma to get

193 = 157 x 1 + 36

We consider the new divisor 157 and the new remainder 36,and apply the division lemma to get

157 = 36 x 4 + 13

We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get

36 = 13 x 2 + 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 929 and 736 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(157,36) = HCF(193,157) = HCF(736,193) = HCF(929,736) .

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Frequently Asked Questions on HCF of 929, 736 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 929, 736?

Answer: HCF of 929, 736 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 929, 736 using Euclid's Algorithm?

Answer: For arbitrary numbers 929, 736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.