Highest Common Factor of 944, 767, 307 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 944, 767, 307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 944, 767, 307 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 944, 767, 307 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 944, 767, 307 is 1.

HCF(944, 767, 307) = 1

HCF of 944, 767, 307 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 944, 767, 307 is 1.

Highest Common Factor of 944,767,307 using Euclid's algorithm

Highest Common Factor of 944,767,307 is 1

Step 1: Since 944 > 767, we apply the division lemma to 944 and 767, to get

944 = 767 x 1 + 177

Step 2: Since the reminder 767 ≠ 0, we apply division lemma to 177 and 767, to get

767 = 177 x 4 + 59

Step 3: We consider the new divisor 177 and the new remainder 59, and apply the division lemma to get

177 = 59 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 944 and 767 is 59

Notice that 59 = HCF(177,59) = HCF(767,177) = HCF(944,767) .

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

Step 1: Since 307 > 59, we apply the division lemma to 307 and 59, to get

307 = 59 x 5 + 12

Step 2: Since the reminder 59 ≠ 0, we apply division lemma to 12 and 59, to get

59 = 12 x 4 + 11

Step 3: We consider the new divisor 12 and the new remainder 11, and apply the division lemma to get

12 = 11 x 1 + 1

We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 59 and 307 is 1

Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(59,12) = HCF(307,59) .

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Frequently Asked Questions on HCF of 944, 767, 307 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 944, 767, 307?

Answer: HCF of 944, 767, 307 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 944, 767, 307 using Euclid's Algorithm?

Answer: For arbitrary numbers 944, 767, 307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.