Highest Common Factor of 2377, 3314 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 2377, 3314 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2377, 3314 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 2377, 3314 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 2377, 3314 is 1.

HCF(2377, 3314) = 1

HCF of 2377, 3314 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 2377, 3314 is 1.

Highest Common Factor of 2377,3314 using Euclid's algorithm

Highest Common Factor of 2377,3314 is 1

Step 1: Since 3314 > 2377, we apply the division lemma to 3314 and 2377, to get

3314 = 2377 x 1 + 937

Step 2: Since the reminder 2377 ≠ 0, we apply division lemma to 937 and 2377, to get

2377 = 937 x 2 + 503

Step 3: We consider the new divisor 937 and the new remainder 503, and apply the division lemma to get

937 = 503 x 1 + 434

We consider the new divisor 503 and the new remainder 434,and apply the division lemma to get

503 = 434 x 1 + 69

We consider the new divisor 434 and the new remainder 69,and apply the division lemma to get

434 = 69 x 6 + 20

We consider the new divisor 69 and the new remainder 20,and apply the division lemma to get

69 = 20 x 3 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 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 2377 and 3314 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(69,20) = HCF(434,69) = HCF(503,434) = HCF(937,503) = HCF(2377,937) = HCF(3314,2377) .

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Frequently Asked Questions on HCF of 2377, 3314 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 2377, 3314?

Answer: HCF of 2377, 3314 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2377, 3314 using Euclid's Algorithm?

Answer: For arbitrary numbers 2377, 3314 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.