Highest Common Factor of 857, 292, 39 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 857, 292, 39 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 857, 292, 39 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 857, 292, 39 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 857, 292, 39 is 1.

HCF(857, 292, 39) = 1

HCF of 857, 292, 39 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 857, 292, 39 is 1.

Highest Common Factor of 857,292,39 using Euclid's algorithm

Highest Common Factor of 857,292,39 is 1

Step 1: Since 857 > 292, we apply the division lemma to 857 and 292, to get

857 = 292 x 2 + 273

Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 273 and 292, to get

292 = 273 x 1 + 19

Step 3: We consider the new divisor 273 and the new remainder 19, and apply the division lemma to get

273 = 19 x 14 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 857 and 292 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(273,19) = HCF(292,273) = HCF(857,292) .

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

Step 1: Since 39 > 1, we apply the division lemma to 39 and 1, to get

39 = 1 x 39 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39 is 1

Notice that 1 = HCF(39,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 857, 292, 39 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 857, 292, 39?

Answer: HCF of 857, 292, 39 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 857, 292, 39 using Euclid's Algorithm?

Answer: For arbitrary numbers 857, 292, 39 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.