Highest Common Factor of 896, 558, 390 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 896, 558, 390 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 896, 558, 390 is 2 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 896, 558, 390 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 896, 558, 390 is 2.

HCF(896, 558, 390) = 2

HCF of 896, 558, 390 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 896, 558, 390 is 2.

Highest Common Factor of 896,558,390 using Euclid's algorithm

Highest Common Factor of 896,558,390 is 2

Step 1: Since 896 > 558, we apply the division lemma to 896 and 558, to get

896 = 558 x 1 + 338

Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 338 and 558, to get

558 = 338 x 1 + 220

Step 3: We consider the new divisor 338 and the new remainder 220, and apply the division lemma to get

338 = 220 x 1 + 118

We consider the new divisor 220 and the new remainder 118,and apply the division lemma to get

220 = 118 x 1 + 102

We consider the new divisor 118 and the new remainder 102,and apply the division lemma to get

118 = 102 x 1 + 16

We consider the new divisor 102 and the new remainder 16,and apply the division lemma to get

102 = 16 x 6 + 6

We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get

16 = 6 x 2 + 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 896 and 558 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(102,16) = HCF(118,102) = HCF(220,118) = HCF(338,220) = HCF(558,338) = HCF(896,558) .

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

Step 1: Since 390 > 2, we apply the division lemma to 390 and 2, to get

390 = 2 x 195 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 390 is 2

Notice that 2 = HCF(390,2) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 896, 558, 390 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 896, 558, 390?

Answer: HCF of 896, 558, 390 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 896, 558, 390 using Euclid's Algorithm?

Answer: For arbitrary numbers 896, 558, 390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.