Highest Common Factor of 5407, 3074, 96368 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 5407, 3074, 96368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5407, 3074, 96368 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 5407, 3074, 96368 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 5407, 3074, 96368 is 1.

HCF(5407, 3074, 96368) = 1

HCF of 5407, 3074, 96368 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 5407, 3074, 96368 is 1.

Highest Common Factor of 5407,3074,96368 using Euclid's algorithm

Highest Common Factor of 5407,3074,96368 is 1

Step 1: Since 5407 > 3074, we apply the division lemma to 5407 and 3074, to get

5407 = 3074 x 1 + 2333

Step 2: Since the reminder 3074 ≠ 0, we apply division lemma to 2333 and 3074, to get

3074 = 2333 x 1 + 741

Step 3: We consider the new divisor 2333 and the new remainder 741, and apply the division lemma to get

2333 = 741 x 3 + 110

We consider the new divisor 741 and the new remainder 110,and apply the division lemma to get

741 = 110 x 6 + 81

We consider the new divisor 110 and the new remainder 81,and apply the division lemma to get

110 = 81 x 1 + 29

We consider the new divisor 81 and the new remainder 29,and apply the division lemma to get

81 = 29 x 2 + 23

We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get

29 = 23 x 1 + 6

We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get

23 = 6 x 3 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5407 and 3074 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(81,29) = HCF(110,81) = HCF(741,110) = HCF(2333,741) = HCF(3074,2333) = HCF(5407,3074) .


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

Step 1: Since 96368 > 1, we apply the division lemma to 96368 and 1, to get

96368 = 1 x 96368 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96368 is 1

Notice that 1 = HCF(96368,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 5407, 3074, 96368 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 5407, 3074, 96368?

Answer: HCF of 5407, 3074, 96368 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5407, 3074, 96368 using Euclid's Algorithm?

Answer: For arbitrary numbers 5407, 3074, 96368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.