Highest Common Factor of 4881, 7487, 85325 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 4881, 7487, 85325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4881, 7487, 85325 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 4881, 7487, 85325 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 4881, 7487, 85325 is 1.

HCF(4881, 7487, 85325) = 1

HCF of 4881, 7487, 85325 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 4881, 7487, 85325 is 1.

Highest Common Factor of 4881,7487,85325 using Euclid's algorithm

Highest Common Factor of 4881,7487,85325 is 1

Step 1: Since 7487 > 4881, we apply the division lemma to 7487 and 4881, to get

7487 = 4881 x 1 + 2606

Step 2: Since the reminder 4881 ≠ 0, we apply division lemma to 2606 and 4881, to get

4881 = 2606 x 1 + 2275

Step 3: We consider the new divisor 2606 and the new remainder 2275, and apply the division lemma to get

2606 = 2275 x 1 + 331

We consider the new divisor 2275 and the new remainder 331,and apply the division lemma to get

2275 = 331 x 6 + 289

We consider the new divisor 331 and the new remainder 289,and apply the division lemma to get

331 = 289 x 1 + 42

We consider the new divisor 289 and the new remainder 42,and apply the division lemma to get

289 = 42 x 6 + 37

We consider the new divisor 42 and the new remainder 37,and apply the division lemma to get

42 = 37 x 1 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4881 and 7487 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(42,37) = HCF(289,42) = HCF(331,289) = HCF(2275,331) = HCF(2606,2275) = HCF(4881,2606) = HCF(7487,4881) .

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

Step 1: Since 85325 > 1, we apply the division lemma to 85325 and 1, to get

85325 = 1 x 85325 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85325 is 1

Notice that 1 = HCF(85325,1) .

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Frequently Asked Questions on HCF of 4881, 7487, 85325 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 4881, 7487, 85325?

Answer: HCF of 4881, 7487, 85325 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4881, 7487, 85325 using Euclid's Algorithm?

Answer: For arbitrary numbers 4881, 7487, 85325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.