Highest Common Factor of 399, 702, 949 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 399, 702, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 399, 702, 949 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 399, 702, 949 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 399, 702, 949 is 1.

HCF(399, 702, 949) = 1

HCF of 399, 702, 949 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 399, 702, 949 is 1.

Highest Common Factor of 399,702,949 using Euclid's algorithm

Highest Common Factor of 399,702,949 is 1

Step 1: Since 702 > 399, we apply the division lemma to 702 and 399, to get

702 = 399 x 1 + 303

Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 303 and 399, to get

399 = 303 x 1 + 96

Step 3: We consider the new divisor 303 and the new remainder 96, and apply the division lemma to get

303 = 96 x 3 + 15

We consider the new divisor 96 and the new remainder 15,and apply the division lemma to get

96 = 15 x 6 + 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 399 and 702 is 3

Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(96,15) = HCF(303,96) = HCF(399,303) = HCF(702,399) .

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

Step 1: Since 949 > 3, we apply the division lemma to 949 and 3, to get

949 = 3 x 316 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 949 is 1

Notice that 1 = HCF(3,1) = HCF(949,3) .

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Frequently Asked Questions on HCF of 399, 702, 949 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 399, 702, 949?

Answer: HCF of 399, 702, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 399, 702, 949 using Euclid's Algorithm?

Answer: For arbitrary numbers 399, 702, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.