Highest Common Factor of 2726, 9979, 48597 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 2726, 9979, 48597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2726, 9979, 48597 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 2726, 9979, 48597 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 2726, 9979, 48597 is 1.

HCF(2726, 9979, 48597) = 1

HCF of 2726, 9979, 48597 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 2726, 9979, 48597 is 1.

Highest Common Factor of 2726,9979,48597 using Euclid's algorithm

Highest Common Factor of 2726,9979,48597 is 1

Step 1: Since 9979 > 2726, we apply the division lemma to 9979 and 2726, to get

9979 = 2726 x 3 + 1801

Step 2: Since the reminder 2726 ≠ 0, we apply division lemma to 1801 and 2726, to get

2726 = 1801 x 1 + 925

Step 3: We consider the new divisor 1801 and the new remainder 925, and apply the division lemma to get

1801 = 925 x 1 + 876

We consider the new divisor 925 and the new remainder 876,and apply the division lemma to get

925 = 876 x 1 + 49

We consider the new divisor 876 and the new remainder 49,and apply the division lemma to get

876 = 49 x 17 + 43

We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get

49 = 43 x 1 + 6

We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get

43 = 6 x 7 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2726 and 9979 is 1

Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(876,49) = HCF(925,876) = HCF(1801,925) = HCF(2726,1801) = HCF(9979,2726) .

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

Step 1: Since 48597 > 1, we apply the division lemma to 48597 and 1, to get

48597 = 1 x 48597 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48597 is 1

Notice that 1 = HCF(48597,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 2726, 9979, 48597 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 2726, 9979, 48597?

Answer: HCF of 2726, 9979, 48597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2726, 9979, 48597 using Euclid's Algorithm?

Answer: For arbitrary numbers 2726, 9979, 48597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.