Highest Common Factor of 770, 466, 896 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 770, 466, 896 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 770, 466, 896 is 2 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 770, 466, 896 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 770, 466, 896 is 2.

HCF(770, 466, 896) = 2

HCF of 770, 466, 896 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 770, 466, 896 is 2.

Highest Common Factor of 770,466,896 using Euclid's algorithm

Highest Common Factor of 770,466,896 is 2

Step 1: Since 770 > 466, we apply the division lemma to 770 and 466, to get

770 = 466 x 1 + 304

Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 304 and 466, to get

466 = 304 x 1 + 162

Step 3: We consider the new divisor 304 and the new remainder 162, and apply the division lemma to get

304 = 162 x 1 + 142

We consider the new divisor 162 and the new remainder 142,and apply the division lemma to get

162 = 142 x 1 + 20

We consider the new divisor 142 and the new remainder 20,and apply the division lemma to get

142 = 20 x 7 + 2

We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get

20 = 2 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 770 and 466 is 2

Notice that 2 = HCF(20,2) = HCF(142,20) = HCF(162,142) = HCF(304,162) = HCF(466,304) = HCF(770,466) .

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

Step 1: Since 896 > 2, we apply the division lemma to 896 and 2, to get

896 = 2 x 448 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 896 is 2

Notice that 2 = HCF(896,2) .

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Frequently Asked Questions on HCF of 770, 466, 896 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 770, 466, 896?

Answer: HCF of 770, 466, 896 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 770, 466, 896 using Euclid's Algorithm?

Answer: For arbitrary numbers 770, 466, 896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.