Highest Common Factor of 550, 880, 436 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 550, 880, 436 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 550, 880, 436 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 550, 880, 436 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 550, 880, 436 is 2.

HCF(550, 880, 436) = 2

HCF of 550, 880, 436 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 550, 880, 436 is 2.

Highest Common Factor of 550,880,436 using Euclid's algorithm

Highest Common Factor of 550,880,436 is 2

Step 1: Since 880 > 550, we apply the division lemma to 880 and 550, to get

880 = 550 x 1 + 330

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 330 and 550, to get

550 = 330 x 1 + 220

Step 3: We consider the new divisor 330 and the new remainder 220, and apply the division lemma to get

330 = 220 x 1 + 110

We consider the new divisor 220 and the new remainder 110, and apply the division lemma to get

220 = 110 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 110, the HCF of 550 and 880 is 110

Notice that 110 = HCF(220,110) = HCF(330,220) = HCF(550,330) = HCF(880,550) .

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

Step 1: Since 436 > 110, we apply the division lemma to 436 and 110, to get

436 = 110 x 3 + 106

Step 2: Since the reminder 110 ≠ 0, we apply division lemma to 106 and 110, to get

110 = 106 x 1 + 4

Step 3: We consider the new divisor 106 and the new remainder 4, and apply the division lemma to get

106 = 4 x 26 + 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 110 and 436 is 2

Notice that 2 = HCF(4,2) = HCF(106,4) = HCF(110,106) = HCF(436,110) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 550, 880, 436 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 550, 880, 436?

Answer: HCF of 550, 880, 436 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 550, 880, 436 using Euclid's Algorithm?

Answer: For arbitrary numbers 550, 880, 436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.