Highest Common Factor of 984, 807, 261, 26 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, 807, 261, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 984, 807, 261, 26 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 984, 807, 261, 26 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, 807, 261, 26 is 1.

HCF(984, 807, 261, 26) = 1

HCF of 984, 807, 261, 26 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, 807, 261, 26 is 1.

Highest Common Factor of 984,807,261,26 using Euclid's algorithm

Highest Common Factor of 984,807,261,26 is 1

Step 1: Since 984 > 807, we apply the division lemma to 984 and 807, to get

984 = 807 x 1 + 177

Step 2: Since the reminder 807 ≠ 0, we apply division lemma to 177 and 807, to get

807 = 177 x 4 + 99

Step 3: We consider the new divisor 177 and the new remainder 99, and apply the division lemma to get

177 = 99 x 1 + 78

We consider the new divisor 99 and the new remainder 78,and apply the division lemma to get

99 = 78 x 1 + 21

We consider the new divisor 78 and the new remainder 21,and apply the division lemma to get

78 = 21 x 3 + 15

We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get

21 = 15 x 1 + 6

We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get

15 = 6 x 2 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 984 and 807 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(78,21) = HCF(99,78) = HCF(177,99) = HCF(807,177) = HCF(984,807) .

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

Step 1: Since 261 > 3, we apply the division lemma to 261 and 3, to get

261 = 3 x 87 + 0

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

Notice that 3 = HCF(261,3) .

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

Step 1: Since 26 > 3, we apply the division lemma to 26 and 3, to get

26 = 3 x 8 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 26 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) .

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Frequently Asked Questions on HCF of 984, 807, 261, 26 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, 807, 261, 26?

Answer: HCF of 984, 807, 261, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 984, 807, 261, 26 using Euclid's Algorithm?

Answer: For arbitrary numbers 984, 807, 261, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.