Highest Common Factor of 487, 294, 882, 25 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 487, 294, 882, 25 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 487, 294, 882, 25 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 487, 294, 882, 25 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 487, 294, 882, 25 is 1.

HCF(487, 294, 882, 25) = 1

HCF of 487, 294, 882, 25 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 487, 294, 882, 25 is 1.

Highest Common Factor of 487,294,882,25 using Euclid's algorithm

Highest Common Factor of 487,294,882,25 is 1

Step 1: Since 487 > 294, we apply the division lemma to 487 and 294, to get

487 = 294 x 1 + 193

Step 2: Since the reminder 294 ≠ 0, we apply division lemma to 193 and 294, to get

294 = 193 x 1 + 101

Step 3: We consider the new divisor 193 and the new remainder 101, and apply the division lemma to get

193 = 101 x 1 + 92

We consider the new divisor 101 and the new remainder 92,and apply the division lemma to get

101 = 92 x 1 + 9

We consider the new divisor 92 and the new remainder 9,and apply the division lemma to get

92 = 9 x 10 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 487 and 294 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(92,9) = HCF(101,92) = HCF(193,101) = HCF(294,193) = HCF(487,294) .

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

Step 1: Since 882 > 1, we apply the division lemma to 882 and 1, to get

882 = 1 x 882 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 882 is 1

Notice that 1 = HCF(882,1) .

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

Step 1: Since 25 > 1, we apply the division lemma to 25 and 1, to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25 is 1

Notice that 1 = HCF(25,1) .

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Frequently Asked Questions on HCF of 487, 294, 882, 25 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 487, 294, 882, 25?

Answer: HCF of 487, 294, 882, 25 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 487, 294, 882, 25 using Euclid's Algorithm?

Answer: For arbitrary numbers 487, 294, 882, 25 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.