Highest Common Factor of 7250, 2497, 62716 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 7250, 2497, 62716 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7250, 2497, 62716 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 7250, 2497, 62716 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 7250, 2497, 62716 is 1.

HCF(7250, 2497, 62716) = 1

HCF of 7250, 2497, 62716 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 7250, 2497, 62716 is 1.

Highest Common Factor of 7250,2497,62716 using Euclid's algorithm

Highest Common Factor of 7250,2497,62716 is 1

Step 1: Since 7250 > 2497, we apply the division lemma to 7250 and 2497, to get

7250 = 2497 x 2 + 2256

Step 2: Since the reminder 2497 ≠ 0, we apply division lemma to 2256 and 2497, to get

2497 = 2256 x 1 + 241

Step 3: We consider the new divisor 2256 and the new remainder 241, and apply the division lemma to get

2256 = 241 x 9 + 87

We consider the new divisor 241 and the new remainder 87,and apply the division lemma to get

241 = 87 x 2 + 67

We consider the new divisor 87 and the new remainder 67,and apply the division lemma to get

87 = 67 x 1 + 20

We consider the new divisor 67 and the new remainder 20,and apply the division lemma to get

67 = 20 x 3 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7250 and 2497 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(67,20) = HCF(87,67) = HCF(241,87) = HCF(2256,241) = HCF(2497,2256) = HCF(7250,2497) .

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

Step 1: Since 62716 > 1, we apply the division lemma to 62716 and 1, to get

62716 = 1 x 62716 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62716 is 1

Notice that 1 = HCF(62716,1) .

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Frequently Asked Questions on HCF of 7250, 2497, 62716 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 7250, 2497, 62716?

Answer: HCF of 7250, 2497, 62716 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7250, 2497, 62716 using Euclid's Algorithm?

Answer: For arbitrary numbers 7250, 2497, 62716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.