Highest Common Factor of 9320, 4929 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 9320, 4929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9320, 4929 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 9320, 4929 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 9320, 4929 is 1.

HCF(9320, 4929) = 1

HCF of 9320, 4929 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 9320, 4929 is 1.

Highest Common Factor of 9320,4929 using Euclid's algorithm

Highest Common Factor of 9320,4929 is 1

Step 1: Since 9320 > 4929, we apply the division lemma to 9320 and 4929, to get

9320 = 4929 x 1 + 4391

Step 2: Since the reminder 4929 ≠ 0, we apply division lemma to 4391 and 4929, to get

4929 = 4391 x 1 + 538

Step 3: We consider the new divisor 4391 and the new remainder 538, and apply the division lemma to get

4391 = 538 x 8 + 87

We consider the new divisor 538 and the new remainder 87,and apply the division lemma to get

538 = 87 x 6 + 16

We consider the new divisor 87 and the new remainder 16,and apply the division lemma to get

87 = 16 x 5 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 9320 and 4929 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(87,16) = HCF(538,87) = HCF(4391,538) = HCF(4929,4391) = HCF(9320,4929) .

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Frequently Asked Questions on HCF of 9320, 4929 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 9320, 4929?

Answer: HCF of 9320, 4929 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9320, 4929 using Euclid's Algorithm?

Answer: For arbitrary numbers 9320, 4929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.