Highest Common Factor of 891, 542, 434 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 891, 542, 434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 891, 542, 434 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 891, 542, 434 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 891, 542, 434 is 1.

HCF(891, 542, 434) = 1

HCF of 891, 542, 434 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 891, 542, 434 is 1.

Highest Common Factor of 891,542,434 using Euclid's algorithm

Highest Common Factor of 891,542,434 is 1

Step 1: Since 891 > 542, we apply the division lemma to 891 and 542, to get

891 = 542 x 1 + 349

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 349 and 542, to get

542 = 349 x 1 + 193

Step 3: We consider the new divisor 349 and the new remainder 193, and apply the division lemma to get

349 = 193 x 1 + 156

We consider the new divisor 193 and the new remainder 156,and apply the division lemma to get

193 = 156 x 1 + 37

We consider the new divisor 156 and the new remainder 37,and apply the division lemma to get

156 = 37 x 4 + 8

We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get

37 = 8 x 4 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 891 and 542 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(156,37) = HCF(193,156) = HCF(349,193) = HCF(542,349) = HCF(891,542) .

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

Step 1: Since 434 > 1, we apply the division lemma to 434 and 1, to get

434 = 1 x 434 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 434 is 1

Notice that 1 = HCF(434,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 891, 542, 434 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 891, 542, 434?

Answer: HCF of 891, 542, 434 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 891, 542, 434 using Euclid's Algorithm?

Answer: For arbitrary numbers 891, 542, 434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.