Highest Common Factor of 290, 448, 28 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 290, 448, 28 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 290, 448, 28 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 290, 448, 28 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 290, 448, 28 is 2.
HCF(290, 448, 28) = 2
HCF of 290, 448, 28 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 290, 448, 28 is 2.
Highest Common Factor of 290,448,28 is 2
Step 1: Since 448 > 290, we apply the division lemma to 448 and 290, to get
448 = 290 x 1 + 158
Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 158 and 290, to get
290 = 158 x 1 + 132
Step 3: We consider the new divisor 158 and the new remainder 132, and apply the division lemma to get
158 = 132 x 1 + 26
We consider the new divisor 132 and the new remainder 26,and apply the division lemma to get
132 = 26 x 5 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 290 and 448 is 2
Notice that 2 = HCF(26,2) = HCF(132,26) = HCF(158,132) = HCF(290,158) = HCF(448,290) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 2, we apply the division lemma to 28 and 2, to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 28 is 2
Notice that 2 = HCF(28,2) .
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Frequently Asked Questions on HCF of 290, 448, 28 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 290, 448, 28?
Answer: HCF of 290, 448, 28 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 290, 448, 28 using Euclid's Algorithm?
Answer: For arbitrary numbers 290, 448, 28 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.