Highest Common Factor of 4403, 7960, 78094 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 4403, 7960, 78094 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4403, 7960, 78094 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 4403, 7960, 78094 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 4403, 7960, 78094 is 1.

HCF(4403, 7960, 78094) = 1

HCF of 4403, 7960, 78094 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 4403, 7960, 78094 is 1.

Highest Common Factor of 4403,7960,78094 using Euclid's algorithm

Highest Common Factor of 4403,7960,78094 is 1

Step 1: Since 7960 > 4403, we apply the division lemma to 7960 and 4403, to get

7960 = 4403 x 1 + 3557

Step 2: Since the reminder 4403 ≠ 0, we apply division lemma to 3557 and 4403, to get

4403 = 3557 x 1 + 846

Step 3: We consider the new divisor 3557 and the new remainder 846, and apply the division lemma to get

3557 = 846 x 4 + 173

We consider the new divisor 846 and the new remainder 173,and apply the division lemma to get

846 = 173 x 4 + 154

We consider the new divisor 173 and the new remainder 154,and apply the division lemma to get

173 = 154 x 1 + 19

We consider the new divisor 154 and the new remainder 19,and apply the division lemma to get

154 = 19 x 8 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 4403 and 7960 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(154,19) = HCF(173,154) = HCF(846,173) = HCF(3557,846) = HCF(4403,3557) = HCF(7960,4403) .

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

Step 1: Since 78094 > 1, we apply the division lemma to 78094 and 1, to get

78094 = 1 x 78094 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78094 is 1

Notice that 1 = HCF(78094,1) .

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Frequently Asked Questions on HCF of 4403, 7960, 78094 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 4403, 7960, 78094?

Answer: HCF of 4403, 7960, 78094 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4403, 7960, 78094 using Euclid's Algorithm?

Answer: For arbitrary numbers 4403, 7960, 78094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.