Highest Common Factor of 3276, 7430 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 3276, 7430 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 3276, 7430 is 2 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 3276, 7430 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 3276, 7430 is 2.

HCF(3276, 7430) = 2

HCF of 3276, 7430 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 3276, 7430 is 2.

Highest Common Factor of 3276,7430 using Euclid's algorithm

Highest Common Factor of 3276,7430 is 2

Step 1: Since 7430 > 3276, we apply the division lemma to 7430 and 3276, to get

7430 = 3276 x 2 + 878

Step 2: Since the reminder 3276 ≠ 0, we apply division lemma to 878 and 3276, to get

3276 = 878 x 3 + 642

Step 3: We consider the new divisor 878 and the new remainder 642, and apply the division lemma to get

878 = 642 x 1 + 236

We consider the new divisor 642 and the new remainder 236,and apply the division lemma to get

642 = 236 x 2 + 170

We consider the new divisor 236 and the new remainder 170,and apply the division lemma to get

236 = 170 x 1 + 66

We consider the new divisor 170 and the new remainder 66,and apply the division lemma to get

170 = 66 x 2 + 38

We consider the new divisor 66 and the new remainder 38,and apply the division lemma to get

66 = 38 x 1 + 28

We consider the new divisor 38 and the new remainder 28,and apply the division lemma to get

38 = 28 x 1 + 10

We consider the new divisor 28 and the new remainder 10,and apply the division lemma to get

28 = 10 x 2 + 8

We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get

10 = 8 x 1 + 2

We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get

8 = 2 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3276 and 7430 is 2

Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(28,10) = HCF(38,28) = HCF(66,38) = HCF(170,66) = HCF(236,170) = HCF(642,236) = HCF(878,642) = HCF(3276,878) = HCF(7430,3276) .

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Frequently Asked Questions on HCF of 3276, 7430 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 3276, 7430?

Answer: HCF of 3276, 7430 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3276, 7430 using Euclid's Algorithm?

Answer: For arbitrary numbers 3276, 7430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.