Highest Common Factor of 7758, 9113 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 7758, 9113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7758, 9113 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 7758, 9113 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 7758, 9113 is 1.

HCF(7758, 9113) = 1

HCF of 7758, 9113 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 7758, 9113 is 1.

Highest Common Factor of 7758,9113 using Euclid's algorithm

Highest Common Factor of 7758,9113 is 1

Step 1: Since 9113 > 7758, we apply the division lemma to 9113 and 7758, to get

9113 = 7758 x 1 + 1355

Step 2: Since the reminder 7758 ≠ 0, we apply division lemma to 1355 and 7758, to get

7758 = 1355 x 5 + 983

Step 3: We consider the new divisor 1355 and the new remainder 983, and apply the division lemma to get

1355 = 983 x 1 + 372

We consider the new divisor 983 and the new remainder 372,and apply the division lemma to get

983 = 372 x 2 + 239

We consider the new divisor 372 and the new remainder 239,and apply the division lemma to get

372 = 239 x 1 + 133

We consider the new divisor 239 and the new remainder 133,and apply the division lemma to get

239 = 133 x 1 + 106

We consider the new divisor 133 and the new remainder 106,and apply the division lemma to get

133 = 106 x 1 + 27

We consider the new divisor 106 and the new remainder 27,and apply the division lemma to get

106 = 27 x 3 + 25

We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get

27 = 25 x 1 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 7758 and 9113 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(106,27) = HCF(133,106) = HCF(239,133) = HCF(372,239) = HCF(983,372) = HCF(1355,983) = HCF(7758,1355) = HCF(9113,7758) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7758, 9113 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 7758, 9113?

Answer: HCF of 7758, 9113 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7758, 9113 using Euclid's Algorithm?

Answer: For arbitrary numbers 7758, 9113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.