Highest Common Factor of 7276, 9275, 21292 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 7276, 9275, 21292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7276, 9275, 21292 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 7276, 9275, 21292 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 7276, 9275, 21292 is 1.

HCF(7276, 9275, 21292) = 1

HCF of 7276, 9275, 21292 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 7276, 9275, 21292 is 1.

Highest Common Factor of 7276,9275,21292 using Euclid's algorithm

Highest Common Factor of 7276,9275,21292 is 1

Step 1: Since 9275 > 7276, we apply the division lemma to 9275 and 7276, to get

9275 = 7276 x 1 + 1999

Step 2: Since the reminder 7276 ≠ 0, we apply division lemma to 1999 and 7276, to get

7276 = 1999 x 3 + 1279

Step 3: We consider the new divisor 1999 and the new remainder 1279, and apply the division lemma to get

1999 = 1279 x 1 + 720

We consider the new divisor 1279 and the new remainder 720,and apply the division lemma to get

1279 = 720 x 1 + 559

We consider the new divisor 720 and the new remainder 559,and apply the division lemma to get

720 = 559 x 1 + 161

We consider the new divisor 559 and the new remainder 161,and apply the division lemma to get

559 = 161 x 3 + 76

We consider the new divisor 161 and the new remainder 76,and apply the division lemma to get

161 = 76 x 2 + 9

We consider the new divisor 76 and the new remainder 9,and apply the division lemma to get

76 = 9 x 8 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7276 and 9275 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(76,9) = HCF(161,76) = HCF(559,161) = HCF(720,559) = HCF(1279,720) = HCF(1999,1279) = HCF(7276,1999) = HCF(9275,7276) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 21292 > 1, we apply the division lemma to 21292 and 1, to get

21292 = 1 x 21292 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21292 is 1

Notice that 1 = HCF(21292,1) .

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Frequently Asked Questions on HCF of 7276, 9275, 21292 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 7276, 9275, 21292?

Answer: HCF of 7276, 9275, 21292 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7276, 9275, 21292 using Euclid's Algorithm?

Answer: For arbitrary numbers 7276, 9275, 21292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.