Highest Common Factor of 570, 290, 336 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 570, 290, 336 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 570, 290, 336 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 570, 290, 336 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 570, 290, 336 is 2.
HCF(570, 290, 336) = 2
HCF of 570, 290, 336 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 570, 290, 336 is 2.
Highest Common Factor of 570,290,336 is 2
Step 1: Since 570 > 290, we apply the division lemma to 570 and 290, to get
570 = 290 x 1 + 280
Step 2: Since the reminder 290 ≠ 0, we apply division lemma to 280 and 290, to get
290 = 280 x 1 + 10
Step 3: We consider the new divisor 280 and the new remainder 10, and apply the division lemma to get
280 = 10 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 570 and 290 is 10
Notice that 10 = HCF(280,10) = HCF(290,280) = HCF(570,290) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 336 > 10, we apply the division lemma to 336 and 10, to get
336 = 10 x 33 + 6
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 6 and 10, to get
10 = 6 x 1 + 4
Step 3: We consider the new divisor 6 and the new remainder 4, and apply the division lemma to get
6 = 4 x 1 + 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 10 and 336 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(336,10) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 570, 290, 336 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 570, 290, 336?
Answer: HCF of 570, 290, 336 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 570, 290, 336 using Euclid's Algorithm?
Answer: For arbitrary numbers 570, 290, 336 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.