Highest Common Factor of 6468, 7922, 42725 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 6468, 7922, 42725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6468, 7922, 42725 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 6468, 7922, 42725 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 6468, 7922, 42725 is 1.

HCF(6468, 7922, 42725) = 1

HCF of 6468, 7922, 42725 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 6468, 7922, 42725 is 1.

Highest Common Factor of 6468,7922,42725 using Euclid's algorithm

Highest Common Factor of 6468,7922,42725 is 1

Step 1: Since 7922 > 6468, we apply the division lemma to 7922 and 6468, to get

7922 = 6468 x 1 + 1454

Step 2: Since the reminder 6468 ≠ 0, we apply division lemma to 1454 and 6468, to get

6468 = 1454 x 4 + 652

Step 3: We consider the new divisor 1454 and the new remainder 652, and apply the division lemma to get

1454 = 652 x 2 + 150

We consider the new divisor 652 and the new remainder 150,and apply the division lemma to get

652 = 150 x 4 + 52

We consider the new divisor 150 and the new remainder 52,and apply the division lemma to get

150 = 52 x 2 + 46

We consider the new divisor 52 and the new remainder 46,and apply the division lemma to get

52 = 46 x 1 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6468 and 7922 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(52,46) = HCF(150,52) = HCF(652,150) = HCF(1454,652) = HCF(6468,1454) = HCF(7922,6468) .

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

Step 1: Since 42725 > 2, we apply the division lemma to 42725 and 2, to get

42725 = 2 x 21362 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 42725 is 1

Notice that 1 = HCF(2,1) = HCF(42725,2) .

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Frequently Asked Questions on HCF of 6468, 7922, 42725 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 6468, 7922, 42725?

Answer: HCF of 6468, 7922, 42725 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6468, 7922, 42725 using Euclid's Algorithm?

Answer: For arbitrary numbers 6468, 7922, 42725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.