Highest Common Factor of 7235, 9425, 64744 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 7235, 9425, 64744 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7235, 9425, 64744 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 7235, 9425, 64744 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 7235, 9425, 64744 is 1.

HCF(7235, 9425, 64744) = 1

HCF of 7235, 9425, 64744 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 7235, 9425, 64744 is 1.

Highest Common Factor of 7235,9425,64744 using Euclid's algorithm

Highest Common Factor of 7235,9425,64744 is 1

Step 1: Since 9425 > 7235, we apply the division lemma to 9425 and 7235, to get

9425 = 7235 x 1 + 2190

Step 2: Since the reminder 7235 ≠ 0, we apply division lemma to 2190 and 7235, to get

7235 = 2190 x 3 + 665

Step 3: We consider the new divisor 2190 and the new remainder 665, and apply the division lemma to get

2190 = 665 x 3 + 195

We consider the new divisor 665 and the new remainder 195,and apply the division lemma to get

665 = 195 x 3 + 80

We consider the new divisor 195 and the new remainder 80,and apply the division lemma to get

195 = 80 x 2 + 35

We consider the new divisor 80 and the new remainder 35,and apply the division lemma to get

80 = 35 x 2 + 10

We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get

35 = 10 x 3 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7235 and 9425 is 5

Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(80,35) = HCF(195,80) = HCF(665,195) = HCF(2190,665) = HCF(7235,2190) = HCF(9425,7235) .

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

Step 1: Since 64744 > 5, we apply the division lemma to 64744 and 5, to get

64744 = 5 x 12948 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 64744 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(64744,5) .

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Frequently Asked Questions on HCF of 7235, 9425, 64744 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 7235, 9425, 64744?

Answer: HCF of 7235, 9425, 64744 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7235, 9425, 64744 using Euclid's Algorithm?

Answer: For arbitrary numbers 7235, 9425, 64744 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.