Highest Common Factor of 649, 989, 928 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 649, 989, 928 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 649, 989, 928 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 649, 989, 928 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 649, 989, 928 is 1.

HCF(649, 989, 928) = 1

HCF of 649, 989, 928 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 649, 989, 928 is 1.

Highest Common Factor of 649,989,928 using Euclid's algorithm

Highest Common Factor of 649,989,928 is 1

Step 1: Since 989 > 649, we apply the division lemma to 989 and 649, to get

989 = 649 x 1 + 340

Step 2: Since the reminder 649 ≠ 0, we apply division lemma to 340 and 649, to get

649 = 340 x 1 + 309

Step 3: We consider the new divisor 340 and the new remainder 309, and apply the division lemma to get

340 = 309 x 1 + 31

We consider the new divisor 309 and the new remainder 31,and apply the division lemma to get

309 = 31 x 9 + 30

We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get

31 = 30 x 1 + 1

We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 649 and 989 is 1

Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(309,31) = HCF(340,309) = HCF(649,340) = HCF(989,649) .

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

Step 1: Since 928 > 1, we apply the division lemma to 928 and 1, to get

928 = 1 x 928 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 928 is 1

Notice that 1 = HCF(928,1) .

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Frequently Asked Questions on HCF of 649, 989, 928 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 649, 989, 928?

Answer: HCF of 649, 989, 928 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 649, 989, 928 using Euclid's Algorithm?

Answer: For arbitrary numbers 649, 989, 928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.