Highest Common Factor of 3308, 8945 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 3308, 8945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3308, 8945 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 3308, 8945 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 3308, 8945 is 1.

HCF(3308, 8945) = 1

HCF of 3308, 8945 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 3308, 8945 is 1.

Highest Common Factor of 3308,8945 using Euclid's algorithm

Highest Common Factor of 3308,8945 is 1

Step 1: Since 8945 > 3308, we apply the division lemma to 8945 and 3308, to get

8945 = 3308 x 2 + 2329

Step 2: Since the reminder 3308 ≠ 0, we apply division lemma to 2329 and 3308, to get

3308 = 2329 x 1 + 979

Step 3: We consider the new divisor 2329 and the new remainder 979, and apply the division lemma to get

2329 = 979 x 2 + 371

We consider the new divisor 979 and the new remainder 371,and apply the division lemma to get

979 = 371 x 2 + 237

We consider the new divisor 371 and the new remainder 237,and apply the division lemma to get

371 = 237 x 1 + 134

We consider the new divisor 237 and the new remainder 134,and apply the division lemma to get

237 = 134 x 1 + 103

We consider the new divisor 134 and the new remainder 103,and apply the division lemma to get

134 = 103 x 1 + 31

We consider the new divisor 103 and the new remainder 31,and apply the division lemma to get

103 = 31 x 3 + 10

We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get

31 = 10 x 3 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3308 and 8945 is 1

Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(103,31) = HCF(134,103) = HCF(237,134) = HCF(371,237) = HCF(979,371) = HCF(2329,979) = HCF(3308,2329) = HCF(8945,3308) .

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Frequently Asked Questions on HCF of 3308, 8945 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 3308, 8945?

Answer: HCF of 3308, 8945 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3308, 8945 using Euclid's Algorithm?

Answer: For arbitrary numbers 3308, 8945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.