Highest Common Factor of 757, 9380, 3414 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 757, 9380, 3414 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 757, 9380, 3414 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 757, 9380, 3414 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 757, 9380, 3414 is 1.

HCF(757, 9380, 3414) = 1

HCF of 757, 9380, 3414 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 757, 9380, 3414 is 1.

Highest Common Factor of 757,9380,3414 using Euclid's algorithm

Highest Common Factor of 757,9380,3414 is 1

Step 1: Since 9380 > 757, we apply the division lemma to 9380 and 757, to get

9380 = 757 x 12 + 296

Step 2: Since the reminder 757 ≠ 0, we apply division lemma to 296 and 757, to get

757 = 296 x 2 + 165

Step 3: We consider the new divisor 296 and the new remainder 165, and apply the division lemma to get

296 = 165 x 1 + 131

We consider the new divisor 165 and the new remainder 131,and apply the division lemma to get

165 = 131 x 1 + 34

We consider the new divisor 131 and the new remainder 34,and apply the division lemma to get

131 = 34 x 3 + 29

We consider the new divisor 34 and the new remainder 29,and apply the division lemma to get

34 = 29 x 1 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 757 and 9380 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(34,29) = HCF(131,34) = HCF(165,131) = HCF(296,165) = HCF(757,296) = HCF(9380,757) .

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

Step 1: Since 3414 > 1, we apply the division lemma to 3414 and 1, to get

3414 = 1 x 3414 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3414 is 1

Notice that 1 = HCF(3414,1) .

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Frequently Asked Questions on HCF of 757, 9380, 3414 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 757, 9380, 3414?

Answer: HCF of 757, 9380, 3414 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 757, 9380, 3414 using Euclid's Algorithm?

Answer: For arbitrary numbers 757, 9380, 3414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.