Highest Common Factor of 614, 1394, 3011 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 614, 1394, 3011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 614, 1394, 3011 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 614, 1394, 3011 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 614, 1394, 3011 is 1.

HCF(614, 1394, 3011) = 1

HCF of 614, 1394, 3011 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 614, 1394, 3011 is 1.

Highest Common Factor of 614,1394,3011 using Euclid's algorithm

Highest Common Factor of 614,1394,3011 is 1

Step 1: Since 1394 > 614, we apply the division lemma to 1394 and 614, to get

1394 = 614 x 2 + 166

Step 2: Since the reminder 614 ≠ 0, we apply division lemma to 166 and 614, to get

614 = 166 x 3 + 116

Step 3: We consider the new divisor 166 and the new remainder 116, and apply the division lemma to get

166 = 116 x 1 + 50

We consider the new divisor 116 and the new remainder 50,and apply the division lemma to get

116 = 50 x 2 + 16

We consider the new divisor 50 and the new remainder 16,and apply the division lemma to get

50 = 16 x 3 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 614 and 1394 is 2

Notice that 2 = HCF(16,2) = HCF(50,16) = HCF(116,50) = HCF(166,116) = HCF(614,166) = HCF(1394,614) .

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

Step 1: Since 3011 > 2, we apply the division lemma to 3011 and 2, to get

3011 = 2 x 1505 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 3011 is 1

Notice that 1 = HCF(2,1) = HCF(3011,2) .

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Frequently Asked Questions on HCF of 614, 1394, 3011 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 614, 1394, 3011?

Answer: HCF of 614, 1394, 3011 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 614, 1394, 3011 using Euclid's Algorithm?

Answer: For arbitrary numbers 614, 1394, 3011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.