Highest Common Factor of 725, 4824, 9175 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 725, 4824, 9175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 725, 4824, 9175 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 725, 4824, 9175 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 725, 4824, 9175 is 1.

HCF(725, 4824, 9175) = 1

HCF of 725, 4824, 9175 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 725, 4824, 9175 is 1.

Highest Common Factor of 725,4824,9175 using Euclid's algorithm

Highest Common Factor of 725,4824,9175 is 1

Step 1: Since 4824 > 725, we apply the division lemma to 4824 and 725, to get

4824 = 725 x 6 + 474

Step 2: Since the reminder 725 ≠ 0, we apply division lemma to 474 and 725, to get

725 = 474 x 1 + 251

Step 3: We consider the new divisor 474 and the new remainder 251, and apply the division lemma to get

474 = 251 x 1 + 223

We consider the new divisor 251 and the new remainder 223,and apply the division lemma to get

251 = 223 x 1 + 28

We consider the new divisor 223 and the new remainder 28,and apply the division lemma to get

223 = 28 x 7 + 27

We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get

28 = 27 x 1 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 725 and 4824 is 1

Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(223,28) = HCF(251,223) = HCF(474,251) = HCF(725,474) = HCF(4824,725) .

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

Step 1: Since 9175 > 1, we apply the division lemma to 9175 and 1, to get

9175 = 1 x 9175 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9175 is 1

Notice that 1 = HCF(9175,1) .

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Frequently Asked Questions on HCF of 725, 4824, 9175 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 725, 4824, 9175?

Answer: HCF of 725, 4824, 9175 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 725, 4824, 9175 using Euclid's Algorithm?

Answer: For arbitrary numbers 725, 4824, 9175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.