Highest Common Factor of 244, 785, 912 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 244, 785, 912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 244, 785, 912 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 244, 785, 912 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 244, 785, 912 is 1.

HCF(244, 785, 912) = 1

HCF of 244, 785, 912 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 244, 785, 912 is 1.

Highest Common Factor of 244,785,912 using Euclid's algorithm

Highest Common Factor of 244,785,912 is 1

Step 1: Since 785 > 244, we apply the division lemma to 785 and 244, to get

785 = 244 x 3 + 53

Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 53 and 244, to get

244 = 53 x 4 + 32

Step 3: We consider the new divisor 53 and the new remainder 32, and apply the division lemma to get

53 = 32 x 1 + 21

We consider the new divisor 32 and the new remainder 21,and apply the division lemma to get

32 = 21 x 1 + 11

We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get

21 = 11 x 1 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 244 and 785 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(32,21) = HCF(53,32) = HCF(244,53) = HCF(785,244) .

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

Step 1: Since 912 > 1, we apply the division lemma to 912 and 1, to get

912 = 1 x 912 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 912 is 1

Notice that 1 = HCF(912,1) .

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Frequently Asked Questions on HCF of 244, 785, 912 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 244, 785, 912?

Answer: HCF of 244, 785, 912 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 244, 785, 912 using Euclid's Algorithm?

Answer: For arbitrary numbers 244, 785, 912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.