Highest Common Factor of 296, 769, 776 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 296, 769, 776 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 296, 769, 776 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 296, 769, 776 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 296, 769, 776 is 1.

HCF(296, 769, 776) = 1

HCF of 296, 769, 776 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 296, 769, 776 is 1.

Highest Common Factor of 296,769,776 using Euclid's algorithm

Highest Common Factor of 296,769,776 is 1

Step 1: Since 769 > 296, we apply the division lemma to 769 and 296, to get

769 = 296 x 2 + 177

Step 2: Since the reminder 296 ≠ 0, we apply division lemma to 177 and 296, to get

296 = 177 x 1 + 119

Step 3: We consider the new divisor 177 and the new remainder 119, and apply the division lemma to get

177 = 119 x 1 + 58

We consider the new divisor 119 and the new remainder 58,and apply the division lemma to get

119 = 58 x 2 + 3

We consider the new divisor 58 and the new remainder 3,and apply the division lemma to get

58 = 3 x 19 + 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 296 and 769 is 1

Notice that 1 = HCF(3,1) = HCF(58,3) = HCF(119,58) = HCF(177,119) = HCF(296,177) = HCF(769,296) .

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

Step 1: Since 776 > 1, we apply the division lemma to 776 and 1, to get

776 = 1 x 776 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 776 is 1

Notice that 1 = HCF(776,1) .

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Frequently Asked Questions on HCF of 296, 769, 776 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 296, 769, 776?

Answer: HCF of 296, 769, 776 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 296, 769, 776 using Euclid's Algorithm?

Answer: For arbitrary numbers 296, 769, 776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.