Highest Common Factor of 3469, 9608, 97294 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 3469, 9608, 97294 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3469, 9608, 97294 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 3469, 9608, 97294 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 3469, 9608, 97294 is 1.

HCF(3469, 9608, 97294) = 1

HCF of 3469, 9608, 97294 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 3469, 9608, 97294 is 1.

Highest Common Factor of 3469,9608,97294 using Euclid's algorithm

Highest Common Factor of 3469,9608,97294 is 1

Step 1: Since 9608 > 3469, we apply the division lemma to 9608 and 3469, to get

9608 = 3469 x 2 + 2670

Step 2: Since the reminder 3469 ≠ 0, we apply division lemma to 2670 and 3469, to get

3469 = 2670 x 1 + 799

Step 3: We consider the new divisor 2670 and the new remainder 799, and apply the division lemma to get

2670 = 799 x 3 + 273

We consider the new divisor 799 and the new remainder 273,and apply the division lemma to get

799 = 273 x 2 + 253

We consider the new divisor 273 and the new remainder 253,and apply the division lemma to get

273 = 253 x 1 + 20

We consider the new divisor 253 and the new remainder 20,and apply the division lemma to get

253 = 20 x 12 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 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 3469 and 9608 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(253,20) = HCF(273,253) = HCF(799,273) = HCF(2670,799) = HCF(3469,2670) = HCF(9608,3469) .

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

Step 1: Since 97294 > 1, we apply the division lemma to 97294 and 1, to get

97294 = 1 x 97294 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97294 is 1

Notice that 1 = HCF(97294,1) .

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Frequently Asked Questions on HCF of 3469, 9608, 97294 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 3469, 9608, 97294?

Answer: HCF of 3469, 9608, 97294 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3469, 9608, 97294 using Euclid's Algorithm?

Answer: For arbitrary numbers 3469, 9608, 97294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.