Highest Common Factor of 929, 1190 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, 1190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 929, 1190 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, 1190 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, 1190 is 1.

HCF(929, 1190) = 1

HCF of 929, 1190 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 929, 1190 is 1.

Highest Common Factor of 929,1190 using Euclid's algorithm

Highest Common Factor of 929,1190 is 1

Step 1: Since 1190 > 929, we apply the division lemma to 1190 and 929, to get

1190 = 929 x 1 + 261

Step 2: Since the reminder 929 ≠ 0, we apply division lemma to 261 and 929, to get

929 = 261 x 3 + 146

Step 3: We consider the new divisor 261 and the new remainder 146, and apply the division lemma to get

261 = 146 x 1 + 115

We consider the new divisor 146 and the new remainder 115,and apply the division lemma to get

146 = 115 x 1 + 31

We consider the new divisor 115 and the new remainder 31,and apply the division lemma to get

115 = 31 x 3 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

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 929 and 1190 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(115,31) = HCF(146,115) = HCF(261,146) = HCF(929,261) = HCF(1190,929) .

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Frequently Asked Questions on HCF of 929, 1190 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, 1190?

Answer: HCF of 929, 1190 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 929, 1190 using Euclid's Algorithm?

Answer: For arbitrary numbers 929, 1190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.