Highest Common Factor of 935, 19344 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 935, 19344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 935, 19344 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 935, 19344 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 935, 19344 is 1.

HCF(935, 19344) = 1

HCF of 935, 19344 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 935, 19344 is 1.

Highest Common Factor of 935,19344 using Euclid's algorithm

Highest Common Factor of 935,19344 is 1

Step 1: Since 19344 > 935, we apply the division lemma to 19344 and 935, to get

19344 = 935 x 20 + 644

Step 2: Since the reminder 935 ≠ 0, we apply division lemma to 644 and 935, to get

935 = 644 x 1 + 291

Step 3: We consider the new divisor 644 and the new remainder 291, and apply the division lemma to get

644 = 291 x 2 + 62

We consider the new divisor 291 and the new remainder 62,and apply the division lemma to get

291 = 62 x 4 + 43

We consider the new divisor 62 and the new remainder 43,and apply the division lemma to get

62 = 43 x 1 + 19

We consider the new divisor 43 and the new remainder 19,and apply the division lemma to get

43 = 19 x 2 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 935 and 19344 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(43,19) = HCF(62,43) = HCF(291,62) = HCF(644,291) = HCF(935,644) = HCF(19344,935) .

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Frequently Asked Questions on HCF of 935, 19344 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 935, 19344?

Answer: HCF of 935, 19344 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 935, 19344 using Euclid's Algorithm?

Answer: For arbitrary numbers 935, 19344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.