Highest Common Factor of 9523, 1975 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 9523, 1975 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9523, 1975 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 9523, 1975 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 9523, 1975 is 1.

HCF(9523, 1975) = 1

HCF of 9523, 1975 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 9523, 1975 is 1.

Highest Common Factor of 9523,1975 using Euclid's algorithm

Highest Common Factor of 9523,1975 is 1

Step 1: Since 9523 > 1975, we apply the division lemma to 9523 and 1975, to get

9523 = 1975 x 4 + 1623

Step 2: Since the reminder 1975 ≠ 0, we apply division lemma to 1623 and 1975, to get

1975 = 1623 x 1 + 352

Step 3: We consider the new divisor 1623 and the new remainder 352, and apply the division lemma to get

1623 = 352 x 4 + 215

We consider the new divisor 352 and the new remainder 215,and apply the division lemma to get

352 = 215 x 1 + 137

We consider the new divisor 215 and the new remainder 137,and apply the division lemma to get

215 = 137 x 1 + 78

We consider the new divisor 137 and the new remainder 78,and apply the division lemma to get

137 = 78 x 1 + 59

We consider the new divisor 78 and the new remainder 59,and apply the division lemma to get

78 = 59 x 1 + 19

We consider the new divisor 59 and the new remainder 19,and apply the division lemma to get

59 = 19 x 3 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 9523 and 1975 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(59,19) = HCF(78,59) = HCF(137,78) = HCF(215,137) = HCF(352,215) = HCF(1623,352) = HCF(1975,1623) = HCF(9523,1975) .

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Frequently Asked Questions on HCF of 9523, 1975 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 9523, 1975?

Answer: HCF of 9523, 1975 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9523, 1975 using Euclid's Algorithm?

Answer: For arbitrary numbers 9523, 1975 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.