Highest Common Factor of 7307, 9928, 59668 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 7307, 9928, 59668 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7307, 9928, 59668 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 7307, 9928, 59668 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 7307, 9928, 59668 is 1.

HCF(7307, 9928, 59668) = 1

HCF of 7307, 9928, 59668 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 7307, 9928, 59668 is 1.

Highest Common Factor of 7307,9928,59668 using Euclid's algorithm

Highest Common Factor of 7307,9928,59668 is 1

Step 1: Since 9928 > 7307, we apply the division lemma to 9928 and 7307, to get

9928 = 7307 x 1 + 2621

Step 2: Since the reminder 7307 ≠ 0, we apply division lemma to 2621 and 7307, to get

7307 = 2621 x 2 + 2065

Step 3: We consider the new divisor 2621 and the new remainder 2065, and apply the division lemma to get

2621 = 2065 x 1 + 556

We consider the new divisor 2065 and the new remainder 556,and apply the division lemma to get

2065 = 556 x 3 + 397

We consider the new divisor 556 and the new remainder 397,and apply the division lemma to get

556 = 397 x 1 + 159

We consider the new divisor 397 and the new remainder 159,and apply the division lemma to get

397 = 159 x 2 + 79

We consider the new divisor 159 and the new remainder 79,and apply the division lemma to get

159 = 79 x 2 + 1

We consider the new divisor 79 and the new remainder 1,and apply the division lemma to get

79 = 1 x 79 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7307 and 9928 is 1

Notice that 1 = HCF(79,1) = HCF(159,79) = HCF(397,159) = HCF(556,397) = HCF(2065,556) = HCF(2621,2065) = HCF(7307,2621) = HCF(9928,7307) .

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

Step 1: Since 59668 > 1, we apply the division lemma to 59668 and 1, to get

59668 = 1 x 59668 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59668 is 1

Notice that 1 = HCF(59668,1) .

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Frequently Asked Questions on HCF of 7307, 9928, 59668 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 7307, 9928, 59668?

Answer: HCF of 7307, 9928, 59668 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7307, 9928, 59668 using Euclid's Algorithm?

Answer: For arbitrary numbers 7307, 9928, 59668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.