Highest Common Factor of 7621, 2700 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 7621, 2700 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7621, 2700 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 7621, 2700 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 7621, 2700 is 1.

HCF(7621, 2700) = 1

HCF of 7621, 2700 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 7621, 2700 is 1.

Highest Common Factor of 7621,2700 using Euclid's algorithm

Highest Common Factor of 7621,2700 is 1

Step 1: Since 7621 > 2700, we apply the division lemma to 7621 and 2700, to get

7621 = 2700 x 2 + 2221

Step 2: Since the reminder 2700 ≠ 0, we apply division lemma to 2221 and 2700, to get

2700 = 2221 x 1 + 479

Step 3: We consider the new divisor 2221 and the new remainder 479, and apply the division lemma to get

2221 = 479 x 4 + 305

We consider the new divisor 479 and the new remainder 305,and apply the division lemma to get

479 = 305 x 1 + 174

We consider the new divisor 305 and the new remainder 174,and apply the division lemma to get

305 = 174 x 1 + 131

We consider the new divisor 174 and the new remainder 131,and apply the division lemma to get

174 = 131 x 1 + 43

We consider the new divisor 131 and the new remainder 43,and apply the division lemma to get

131 = 43 x 3 + 2

We consider the new divisor 43 and the new remainder 2,and apply the division lemma to get

43 = 2 x 21 + 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 7621 and 2700 is 1

Notice that 1 = HCF(2,1) = HCF(43,2) = HCF(131,43) = HCF(174,131) = HCF(305,174) = HCF(479,305) = HCF(2221,479) = HCF(2700,2221) = HCF(7621,2700) .

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Frequently Asked Questions on HCF of 7621, 2700 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 7621, 2700?

Answer: HCF of 7621, 2700 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7621, 2700 using Euclid's Algorithm?

Answer: For arbitrary numbers 7621, 2700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.