Highest Common Factor of 4713, 2764 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 4713, 2764 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4713, 2764 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 4713, 2764 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 4713, 2764 is 1.

HCF(4713, 2764) = 1

HCF of 4713, 2764 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 4713, 2764 is 1.

Highest Common Factor of 4713,2764 using Euclid's algorithm

Highest Common Factor of 4713,2764 is 1

Step 1: Since 4713 > 2764, we apply the division lemma to 4713 and 2764, to get

4713 = 2764 x 1 + 1949

Step 2: Since the reminder 2764 ≠ 0, we apply division lemma to 1949 and 2764, to get

2764 = 1949 x 1 + 815

Step 3: We consider the new divisor 1949 and the new remainder 815, and apply the division lemma to get

1949 = 815 x 2 + 319

We consider the new divisor 815 and the new remainder 319,and apply the division lemma to get

815 = 319 x 2 + 177

We consider the new divisor 319 and the new remainder 177,and apply the division lemma to get

319 = 177 x 1 + 142

We consider the new divisor 177 and the new remainder 142,and apply the division lemma to get

177 = 142 x 1 + 35

We consider the new divisor 142 and the new remainder 35,and apply the division lemma to get

142 = 35 x 4 + 2

We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get

35 = 2 x 17 + 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 4713 and 2764 is 1

Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(142,35) = HCF(177,142) = HCF(319,177) = HCF(815,319) = HCF(1949,815) = HCF(2764,1949) = HCF(4713,2764) .

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Frequently Asked Questions on HCF of 4713, 2764 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 4713, 2764?

Answer: HCF of 4713, 2764 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4713, 2764 using Euclid's Algorithm?

Answer: For arbitrary numbers 4713, 2764 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.