Highest Common Factor of 347, 675, 827, 987 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 347, 675, 827, 987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 347, 675, 827, 987 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 347, 675, 827, 987 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 347, 675, 827, 987 is 1.

HCF(347, 675, 827, 987) = 1

HCF of 347, 675, 827, 987 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 347, 675, 827, 987 is 1.

Highest Common Factor of 347,675,827,987 using Euclid's algorithm

Highest Common Factor of 347,675,827,987 is 1

Step 1: Since 675 > 347, we apply the division lemma to 675 and 347, to get

675 = 347 x 1 + 328

Step 2: Since the reminder 347 ≠ 0, we apply division lemma to 328 and 347, to get

347 = 328 x 1 + 19

Step 3: We consider the new divisor 328 and the new remainder 19, and apply the division lemma to get

328 = 19 x 17 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

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 347 and 675 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(328,19) = HCF(347,328) = HCF(675,347) .

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

Step 1: Since 827 > 1, we apply the division lemma to 827 and 1, to get

827 = 1 x 827 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 827 is 1

Notice that 1 = HCF(827,1) .

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

Step 1: Since 987 > 1, we apply the division lemma to 987 and 1, to get

987 = 1 x 987 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 987 is 1

Notice that 1 = HCF(987,1) .

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Frequently Asked Questions on HCF of 347, 675, 827, 987 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 347, 675, 827, 987?

Answer: HCF of 347, 675, 827, 987 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 347, 675, 827, 987 using Euclid's Algorithm?

Answer: For arbitrary numbers 347, 675, 827, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.