Highest Common Factor of 327, 863, 702 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 327, 863, 702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 327, 863, 702 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 327, 863, 702 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 327, 863, 702 is 1.

HCF(327, 863, 702) = 1

HCF of 327, 863, 702 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 327, 863, 702 is 1.

Highest Common Factor of 327,863,702 using Euclid's algorithm

Highest Common Factor of 327,863,702 is 1

Step 1: Since 863 > 327, we apply the division lemma to 863 and 327, to get

863 = 327 x 2 + 209

Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 209 and 327, to get

327 = 209 x 1 + 118

Step 3: We consider the new divisor 209 and the new remainder 118, and apply the division lemma to get

209 = 118 x 1 + 91

We consider the new divisor 118 and the new remainder 91,and apply the division lemma to get

118 = 91 x 1 + 27

We consider the new divisor 91 and the new remainder 27,and apply the division lemma to get

91 = 27 x 3 + 10

We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get

27 = 10 x 2 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

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

7 = 3 x 2 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 327 and 863 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(91,27) = HCF(118,91) = HCF(209,118) = HCF(327,209) = HCF(863,327) .

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

Step 1: Since 702 > 1, we apply the division lemma to 702 and 1, to get

702 = 1 x 702 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 702 is 1

Notice that 1 = HCF(702,1) .

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Frequently Asked Questions on HCF of 327, 863, 702 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 327, 863, 702?

Answer: HCF of 327, 863, 702 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 327, 863, 702 using Euclid's Algorithm?

Answer: For arbitrary numbers 327, 863, 702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.