Highest Common Factor of 984, 504, 261 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 984, 504, 261 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 984, 504, 261 is 3 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 984, 504, 261 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 984, 504, 261 is 3.

HCF(984, 504, 261) = 3

HCF of 984, 504, 261 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 984, 504, 261 is 3.

Highest Common Factor of 984,504,261 using Euclid's algorithm

Highest Common Factor of 984,504,261 is 3

Step 1: Since 984 > 504, we apply the division lemma to 984 and 504, to get

984 = 504 x 1 + 480

Step 2: Since the reminder 504 ≠ 0, we apply division lemma to 480 and 504, to get

504 = 480 x 1 + 24

Step 3: We consider the new divisor 480 and the new remainder 24, and apply the division lemma to get

480 = 24 x 20 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 984 and 504 is 24

Notice that 24 = HCF(480,24) = HCF(504,480) = HCF(984,504) .


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

Step 1: Since 261 > 24, we apply the division lemma to 261 and 24, to get

261 = 24 x 10 + 21

Step 2: Since the reminder 24 ≠ 0, we apply division lemma to 21 and 24, to get

24 = 21 x 1 + 3

Step 3: We consider the new divisor 21 and the new remainder 3, and apply the division lemma to get

21 = 3 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 24 and 261 is 3

Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(261,24) .

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Frequently Asked Questions on HCF of 984, 504, 261 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 984, 504, 261?

Answer: HCF of 984, 504, 261 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 984, 504, 261 using Euclid's Algorithm?

Answer: For arbitrary numbers 984, 504, 261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.