Highest Common Factor of 1176, 2314 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 1176, 2314 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 1176, 2314 is 2 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 1176, 2314 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 1176, 2314 is 2.

HCF(1176, 2314) = 2

HCF of 1176, 2314 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 1176, 2314 is 2.

Highest Common Factor of 1176,2314 using Euclid's algorithm

Highest Common Factor of 1176,2314 is 2

Step 1: Since 2314 > 1176, we apply the division lemma to 2314 and 1176, to get

2314 = 1176 x 1 + 1138

Step 2: Since the reminder 1176 ≠ 0, we apply division lemma to 1138 and 1176, to get

1176 = 1138 x 1 + 38

Step 3: We consider the new divisor 1138 and the new remainder 38, and apply the division lemma to get

1138 = 38 x 29 + 36

We consider the new divisor 38 and the new remainder 36,and apply the division lemma to get

38 = 36 x 1 + 2

We consider the new divisor 36 and the new remainder 2,and apply the division lemma to get

36 = 2 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1176 and 2314 is 2

Notice that 2 = HCF(36,2) = HCF(38,36) = HCF(1138,38) = HCF(1176,1138) = HCF(2314,1176) .

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Frequently Asked Questions on HCF of 1176, 2314 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 1176, 2314?

Answer: HCF of 1176, 2314 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1176, 2314 using Euclid's Algorithm?

Answer: For arbitrary numbers 1176, 2314 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.