Highest Common Factor of 7673, 3308 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 7673, 3308 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7673, 3308 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 7673, 3308 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 7673, 3308 is 1.

HCF(7673, 3308) = 1

HCF of 7673, 3308 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7673, 3308 is 1.

Highest Common Factor of 7673,3308 using Euclid's algorithm

Highest Common Factor of 7673,3308 is 1

Step 1: Since 7673 > 3308, we apply the division lemma to 7673 and 3308, to get

7673 = 3308 x 2 + 1057

Step 2: Since the reminder 3308 ≠ 0, we apply division lemma to 1057 and 3308, to get

3308 = 1057 x 3 + 137

Step 3: We consider the new divisor 1057 and the new remainder 137, and apply the division lemma to get

1057 = 137 x 7 + 98

We consider the new divisor 137 and the new remainder 98,and apply the division lemma to get

137 = 98 x 1 + 39

We consider the new divisor 98 and the new remainder 39,and apply the division lemma to get

98 = 39 x 2 + 20

We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get

39 = 20 x 1 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7673 and 3308 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(98,39) = HCF(137,98) = HCF(1057,137) = HCF(3308,1057) = HCF(7673,3308) .

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Frequently Asked Questions on HCF of 7673, 3308 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 7673, 3308?

Answer: HCF of 7673, 3308 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7673, 3308 using Euclid's Algorithm?

Answer: For arbitrary numbers 7673, 3308 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.