Highest Common Factor of 7738, 9993 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 7738, 9993 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7738, 9993 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 7738, 9993 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 7738, 9993 is 1.

HCF(7738, 9993) = 1

HCF of 7738, 9993 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 7738, 9993 is 1.

Highest Common Factor of 7738,9993 using Euclid's algorithm

Highest Common Factor of 7738,9993 is 1

Step 1: Since 9993 > 7738, we apply the division lemma to 9993 and 7738, to get

9993 = 7738 x 1 + 2255

Step 2: Since the reminder 7738 ≠ 0, we apply division lemma to 2255 and 7738, to get

7738 = 2255 x 3 + 973

Step 3: We consider the new divisor 2255 and the new remainder 973, and apply the division lemma to get

2255 = 973 x 2 + 309

We consider the new divisor 973 and the new remainder 309,and apply the division lemma to get

973 = 309 x 3 + 46

We consider the new divisor 309 and the new remainder 46,and apply the division lemma to get

309 = 46 x 6 + 33

We consider the new divisor 46 and the new remainder 33,and apply the division lemma to get

46 = 33 x 1 + 13

We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get

33 = 13 x 2 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7738 and 9993 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(46,33) = HCF(309,46) = HCF(973,309) = HCF(2255,973) = HCF(7738,2255) = HCF(9993,7738) .

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Frequently Asked Questions on HCF of 7738, 9993 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 7738, 9993?

Answer: HCF of 7738, 9993 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7738, 9993 using Euclid's Algorithm?

Answer: For arbitrary numbers 7738, 9993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.