Highest Common Factor of 539, 898, 987, 687 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 539, 898, 987, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 539, 898, 987, 687 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 539, 898, 987, 687 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 539, 898, 987, 687 is 1.

HCF(539, 898, 987, 687) = 1

HCF of 539, 898, 987, 687 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 539, 898, 987, 687 is 1.

Highest Common Factor of 539,898,987,687 using Euclid's algorithm

Highest Common Factor of 539,898,987,687 is 1

Step 1: Since 898 > 539, we apply the division lemma to 898 and 539, to get

898 = 539 x 1 + 359

Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 359 and 539, to get

539 = 359 x 1 + 180

Step 3: We consider the new divisor 359 and the new remainder 180, and apply the division lemma to get

359 = 180 x 1 + 179

We consider the new divisor 180 and the new remainder 179,and apply the division lemma to get

180 = 179 x 1 + 1

We consider the new divisor 179 and the new remainder 1,and apply the division lemma to get

179 = 1 x 179 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 898 is 1

Notice that 1 = HCF(179,1) = HCF(180,179) = HCF(359,180) = HCF(539,359) = HCF(898,539) .

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) .

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

Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get

687 = 1 x 687 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1

Notice that 1 = HCF(687,1) .

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Frequently Asked Questions on HCF of 539, 898, 987, 687 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 539, 898, 987, 687?

Answer: HCF of 539, 898, 987, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 539, 898, 987, 687 using Euclid's Algorithm?

Answer: For arbitrary numbers 539, 898, 987, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.