Highest Common Factor of 944, 680, 344 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, 680, 344 i.e. 8 the largest integer that leaves a remainder zero for all numbers.

HCF of 944, 680, 344 is 8 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, 680, 344 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, 680, 344 is 8.

HCF(944, 680, 344) = 8

HCF of 944, 680, 344 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, 680, 344 is 8.

Highest Common Factor of 944,680,344 using Euclid's algorithm

Highest Common Factor of 944,680,344 is 8

Step 1: Since 944 > 680, we apply the division lemma to 944 and 680, to get

944 = 680 x 1 + 264

Step 2: Since the reminder 680 ≠ 0, we apply division lemma to 264 and 680, to get

680 = 264 x 2 + 152

Step 3: We consider the new divisor 264 and the new remainder 152, and apply the division lemma to get

264 = 152 x 1 + 112

We consider the new divisor 152 and the new remainder 112,and apply the division lemma to get

152 = 112 x 1 + 40

We consider the new divisor 112 and the new remainder 40,and apply the division lemma to get

112 = 40 x 2 + 32

We consider the new divisor 40 and the new remainder 32,and apply the division lemma to get

40 = 32 x 1 + 8

We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get

32 = 8 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 944 and 680 is 8

Notice that 8 = HCF(32,8) = HCF(40,32) = HCF(112,40) = HCF(152,112) = HCF(264,152) = HCF(680,264) = HCF(944,680) .

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

Step 1: Since 344 > 8, we apply the division lemma to 344 and 8, to get

344 = 8 x 43 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 344 is 8

Notice that 8 = HCF(344,8) .

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Frequently Asked Questions on HCF of 944, 680, 344 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, 680, 344?

Answer: HCF of 944, 680, 344 is 8 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 944, 680, 344 using Euclid's Algorithm?

Answer: For arbitrary numbers 944, 680, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.