Highest Common Factor of 725, 478, 991 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, 478, 991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 725, 478, 991 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, 478, 991 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, 478, 991 is 1.

HCF(725, 478, 991) = 1

HCF of 725, 478, 991 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, 478, 991 is 1.

Highest Common Factor of 725,478,991 using Euclid's algorithm

Highest Common Factor of 725,478,991 is 1

Step 1: Since 725 > 478, we apply the division lemma to 725 and 478, to get

725 = 478 x 1 + 247

Step 2: Since the reminder 478 ≠ 0, we apply division lemma to 247 and 478, to get

478 = 247 x 1 + 231

Step 3: We consider the new divisor 247 and the new remainder 231, and apply the division lemma to get

247 = 231 x 1 + 16

We consider the new divisor 231 and the new remainder 16,and apply the division lemma to get

231 = 16 x 14 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 725 and 478 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(231,16) = HCF(247,231) = HCF(478,247) = HCF(725,478) .

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

Step 1: Since 991 > 1, we apply the division lemma to 991 and 1, to get

991 = 1 x 991 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 991 is 1

Notice that 1 = HCF(991,1) .

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Frequently Asked Questions on HCF of 725, 478, 991 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, 478, 991?

Answer: HCF of 725, 478, 991 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 725, 478, 991 using Euclid's Algorithm?

Answer: For arbitrary numbers 725, 478, 991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.