Highest Common Factor of 474, 254, 290 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 474, 254, 290 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 474, 254, 290 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 474, 254, 290 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 474, 254, 290 is 2.

HCF(474, 254, 290) = 2

HCF of 474, 254, 290 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 474, 254, 290 is 2.

Highest Common Factor of 474,254,290 using Euclid's algorithm

Highest Common Factor of 474,254,290 is 2

Step 1: Since 474 > 254, we apply the division lemma to 474 and 254, to get

474 = 254 x 1 + 220

Step 2: Since the reminder 254 ≠ 0, we apply division lemma to 220 and 254, to get

254 = 220 x 1 + 34

Step 3: We consider the new divisor 220 and the new remainder 34, and apply the division lemma to get

220 = 34 x 6 + 16

We consider the new divisor 34 and the new remainder 16,and apply the division lemma to get

34 = 16 x 2 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 474 and 254 is 2

Notice that 2 = HCF(16,2) = HCF(34,16) = HCF(220,34) = HCF(254,220) = HCF(474,254) .


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

Step 1: Since 290 > 2, we apply the division lemma to 290 and 2, to get

290 = 2 x 145 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 290 is 2

Notice that 2 = HCF(290,2) .

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Frequently Asked Questions on HCF of 474, 254, 290 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 474, 254, 290?

Answer: HCF of 474, 254, 290 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 474, 254, 290 using Euclid's Algorithm?

Answer: For arbitrary numbers 474, 254, 290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.