Highest Common Factor of 984, 376, 327 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, 376, 327 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 984, 376, 327 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, 376, 327 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, 376, 327 is 1.

HCF(984, 376, 327) = 1

HCF of 984, 376, 327 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, 376, 327 is 1.

Highest Common Factor of 984,376,327 using Euclid's algorithm

Highest Common Factor of 984,376,327 is 1

Step 1: Since 984 > 376, we apply the division lemma to 984 and 376, to get

984 = 376 x 2 + 232

Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 232 and 376, to get

376 = 232 x 1 + 144

Step 3: We consider the new divisor 232 and the new remainder 144, and apply the division lemma to get

232 = 144 x 1 + 88

We consider the new divisor 144 and the new remainder 88,and apply the division lemma to get

144 = 88 x 1 + 56

We consider the new divisor 88 and the new remainder 56,and apply the division lemma to get

88 = 56 x 1 + 32

We consider the new divisor 56 and the new remainder 32,and apply the division lemma to get

56 = 32 x 1 + 24

We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get

32 = 24 x 1 + 8

We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get

24 = 8 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 984 and 376 is 8

Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(56,32) = HCF(88,56) = HCF(144,88) = HCF(232,144) = HCF(376,232) = HCF(984,376) .

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

Step 1: Since 327 > 8, we apply the division lemma to 327 and 8, to get

327 = 8 x 40 + 7

Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 7 and 8, to get

8 = 7 x 1 + 1

Step 3: We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 327 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(327,8) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 984, 376, 327 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, 376, 327?

Answer: HCF of 984, 376, 327 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 984, 376, 327 using Euclid's Algorithm?

Answer: For arbitrary numbers 984, 376, 327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.