Highest Common Factor of 779, 268, 553 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 779, 268, 553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 779, 268, 553 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 779, 268, 553 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 779, 268, 553 is 1.

HCF(779, 268, 553) = 1

HCF of 779, 268, 553 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 779, 268, 553 is 1.

Highest Common Factor of 779,268,553 using Euclid's algorithm

Highest Common Factor of 779,268,553 is 1

Step 1: Since 779 > 268, we apply the division lemma to 779 and 268, to get

779 = 268 x 2 + 243

Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 243 and 268, to get

268 = 243 x 1 + 25

Step 3: We consider the new divisor 243 and the new remainder 25, and apply the division lemma to get

243 = 25 x 9 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 779 and 268 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(243,25) = HCF(268,243) = HCF(779,268) .

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

Step 1: Since 553 > 1, we apply the division lemma to 553 and 1, to get

553 = 1 x 553 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 553 is 1

Notice that 1 = HCF(553,1) .

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Frequently Asked Questions on HCF of 779, 268, 553 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 779, 268, 553?

Answer: HCF of 779, 268, 553 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 779, 268, 553 using Euclid's Algorithm?

Answer: For arbitrary numbers 779, 268, 553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.