Highest Common Factor of 550, 898, 770 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, 898, 770 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 550, 898, 770 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, 898, 770 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, 898, 770 is 2.

HCF(550, 898, 770) = 2

HCF of 550, 898, 770 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, 898, 770 is 2.

Highest Common Factor of 550,898,770 using Euclid's algorithm

Highest Common Factor of 550,898,770 is 2

Step 1: Since 898 > 550, we apply the division lemma to 898 and 550, to get

898 = 550 x 1 + 348

Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 348 and 550, to get

550 = 348 x 1 + 202

Step 3: We consider the new divisor 348 and the new remainder 202, and apply the division lemma to get

348 = 202 x 1 + 146

We consider the new divisor 202 and the new remainder 146,and apply the division lemma to get

202 = 146 x 1 + 56

We consider the new divisor 146 and the new remainder 56,and apply the division lemma to get

146 = 56 x 2 + 34

We consider the new divisor 56 and the new remainder 34,and apply the division lemma to get

56 = 34 x 1 + 22

We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get

34 = 22 x 1 + 12

We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get

22 = 12 x 1 + 10

We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get

12 = 10 x 1 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 550 and 898 is 2

Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(56,34) = HCF(146,56) = HCF(202,146) = HCF(348,202) = HCF(550,348) = HCF(898,550) .


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

Step 1: Since 770 > 2, we apply the division lemma to 770 and 2, to get

770 = 2 x 385 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 770 is 2

Notice that 2 = HCF(770,2) .

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Frequently Asked Questions on HCF of 550, 898, 770 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, 898, 770?

Answer: HCF of 550, 898, 770 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 550, 898, 770 using Euclid's Algorithm?

Answer: For arbitrary numbers 550, 898, 770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.