Highest Common Factor of 2777, 4547 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 2777, 4547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2777, 4547 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 2777, 4547 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 2777, 4547 is 1.

HCF(2777, 4547) = 1

HCF of 2777, 4547 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 2777, 4547 is 1.

Highest Common Factor of 2777,4547 using Euclid's algorithm

Highest Common Factor of 2777,4547 is 1

Step 1: Since 4547 > 2777, we apply the division lemma to 4547 and 2777, to get

4547 = 2777 x 1 + 1770

Step 2: Since the reminder 2777 ≠ 0, we apply division lemma to 1770 and 2777, to get

2777 = 1770 x 1 + 1007

Step 3: We consider the new divisor 1770 and the new remainder 1007, and apply the division lemma to get

1770 = 1007 x 1 + 763

We consider the new divisor 1007 and the new remainder 763,and apply the division lemma to get

1007 = 763 x 1 + 244

We consider the new divisor 763 and the new remainder 244,and apply the division lemma to get

763 = 244 x 3 + 31

We consider the new divisor 244 and the new remainder 31,and apply the division lemma to get

244 = 31 x 7 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2777 and 4547 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(244,31) = HCF(763,244) = HCF(1007,763) = HCF(1770,1007) = HCF(2777,1770) = HCF(4547,2777) .

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Frequently Asked Questions on HCF of 2777, 4547 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 2777, 4547?

Answer: HCF of 2777, 4547 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2777, 4547 using Euclid's Algorithm?

Answer: For arbitrary numbers 2777, 4547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.