Highest Common Factor of 7496, 4109, 78964 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 7496, 4109, 78964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7496, 4109, 78964 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 7496, 4109, 78964 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 7496, 4109, 78964 is 1.

HCF(7496, 4109, 78964) = 1

HCF of 7496, 4109, 78964 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 7496, 4109, 78964 is 1.

Highest Common Factor of 7496,4109,78964 using Euclid's algorithm

Highest Common Factor of 7496,4109,78964 is 1

Step 1: Since 7496 > 4109, we apply the division lemma to 7496 and 4109, to get

7496 = 4109 x 1 + 3387

Step 2: Since the reminder 4109 ≠ 0, we apply division lemma to 3387 and 4109, to get

4109 = 3387 x 1 + 722

Step 3: We consider the new divisor 3387 and the new remainder 722, and apply the division lemma to get

3387 = 722 x 4 + 499

We consider the new divisor 722 and the new remainder 499,and apply the division lemma to get

722 = 499 x 1 + 223

We consider the new divisor 499 and the new remainder 223,and apply the division lemma to get

499 = 223 x 2 + 53

We consider the new divisor 223 and the new remainder 53,and apply the division lemma to get

223 = 53 x 4 + 11

We consider the new divisor 53 and the new remainder 11,and apply the division lemma to get

53 = 11 x 4 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 7496 and 4109 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(53,11) = HCF(223,53) = HCF(499,223) = HCF(722,499) = HCF(3387,722) = HCF(4109,3387) = HCF(7496,4109) .

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

Step 1: Since 78964 > 1, we apply the division lemma to 78964 and 1, to get

78964 = 1 x 78964 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78964 is 1

Notice that 1 = HCF(78964,1) .

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Frequently Asked Questions on HCF of 7496, 4109, 78964 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 7496, 4109, 78964?

Answer: HCF of 7496, 4109, 78964 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7496, 4109, 78964 using Euclid's Algorithm?

Answer: For arbitrary numbers 7496, 4109, 78964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.