Highest Common Factor of 9254, 1190, 68709 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 9254, 1190, 68709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9254, 1190, 68709 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 9254, 1190, 68709 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 9254, 1190, 68709 is 1.

HCF(9254, 1190, 68709) = 1

HCF of 9254, 1190, 68709 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 9254, 1190, 68709 is 1.

Highest Common Factor of 9254,1190,68709 using Euclid's algorithm

Highest Common Factor of 9254,1190,68709 is 1

Step 1: Since 9254 > 1190, we apply the division lemma to 9254 and 1190, to get

9254 = 1190 x 7 + 924

Step 2: Since the reminder 1190 ≠ 0, we apply division lemma to 924 and 1190, to get

1190 = 924 x 1 + 266

Step 3: We consider the new divisor 924 and the new remainder 266, and apply the division lemma to get

924 = 266 x 3 + 126

We consider the new divisor 266 and the new remainder 126,and apply the division lemma to get

266 = 126 x 2 + 14

We consider the new divisor 126 and the new remainder 14,and apply the division lemma to get

126 = 14 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 9254 and 1190 is 14

Notice that 14 = HCF(126,14) = HCF(266,126) = HCF(924,266) = HCF(1190,924) = HCF(9254,1190) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 68709 > 14, we apply the division lemma to 68709 and 14, to get

68709 = 14 x 4907 + 11

Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 11 and 14, to get

14 = 11 x 1 + 3

Step 3: We consider the new divisor 11 and the new remainder 3, and apply the division lemma to get

11 = 3 x 3 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 14 and 68709 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(68709,14) .

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Frequently Asked Questions on HCF of 9254, 1190, 68709 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 9254, 1190, 68709?

Answer: HCF of 9254, 1190, 68709 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9254, 1190, 68709 using Euclid's Algorithm?

Answer: For arbitrary numbers 9254, 1190, 68709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.