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 574, 888, 290 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 574, 888, 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 574, 888, 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 574, 888, 290 is 2.
HCF(574, 888, 290) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 574, 888, 290 is 2.
Step 1: Since 888 > 574, we apply the division lemma to 888 and 574, to get
888 = 574 x 1 + 314
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 314 and 574, to get
574 = 314 x 1 + 260
Step 3: We consider the new divisor 314 and the new remainder 260, and apply the division lemma to get
314 = 260 x 1 + 54
We consider the new divisor 260 and the new remainder 54,and apply the division lemma to get
260 = 54 x 4 + 44
We consider the new divisor 54 and the new remainder 44,and apply the division lemma to get
54 = 44 x 1 + 10
We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get
44 = 10 x 4 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 574 and 888 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(54,44) = HCF(260,54) = HCF(314,260) = HCF(574,314) = HCF(888,574) .
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) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 574, 888, 290?
Answer: HCF of 574, 888, 290 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 574, 888, 290 using Euclid's Algorithm?
Answer: For arbitrary numbers 574, 888, 290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.