Highest Common Factor of 2999, 7375 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 2999, 7375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2999, 7375 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 2999, 7375 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 2999, 7375 is 1.

HCF(2999, 7375) = 1

HCF of 2999, 7375 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 2999, 7375 is 1.

Highest Common Factor of 2999,7375 using Euclid's algorithm

Highest Common Factor of 2999,7375 is 1

Step 1: Since 7375 > 2999, we apply the division lemma to 7375 and 2999, to get

7375 = 2999 x 2 + 1377

Step 2: Since the reminder 2999 ≠ 0, we apply division lemma to 1377 and 2999, to get

2999 = 1377 x 2 + 245

Step 3: We consider the new divisor 1377 and the new remainder 245, and apply the division lemma to get

1377 = 245 x 5 + 152

We consider the new divisor 245 and the new remainder 152,and apply the division lemma to get

245 = 152 x 1 + 93

We consider the new divisor 152 and the new remainder 93,and apply the division lemma to get

152 = 93 x 1 + 59

We consider the new divisor 93 and the new remainder 59,and apply the division lemma to get

93 = 59 x 1 + 34

We consider the new divisor 59 and the new remainder 34,and apply the division lemma to get

59 = 34 x 1 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 2999 and 7375 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(59,34) = HCF(93,59) = HCF(152,93) = HCF(245,152) = HCF(1377,245) = HCF(2999,1377) = HCF(7375,2999) .

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Frequently Asked Questions on HCF of 2999, 7375 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 2999, 7375?

Answer: HCF of 2999, 7375 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2999, 7375 using Euclid's Algorithm?

Answer: For arbitrary numbers 2999, 7375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.