Highest Common Factor of 350, 580, 410 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 350, 580, 410 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 350, 580, 410 is 10 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 350, 580, 410 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 350, 580, 410 is 10.
HCF(350, 580, 410) = 10
HCF of 350, 580, 410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 350, 580, 410 is 10.
Highest Common Factor of 350,580,410 is 10
Step 1: Since 580 > 350, we apply the division lemma to 580 and 350, to get
580 = 350 x 1 + 230
Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 230 and 350, to get
350 = 230 x 1 + 120
Step 3: We consider the new divisor 230 and the new remainder 120, and apply the division lemma to get
230 = 120 x 1 + 110
We consider the new divisor 120 and the new remainder 110,and apply the division lemma to get
120 = 110 x 1 + 10
We consider the new divisor 110 and the new remainder 10,and apply the division lemma to get
110 = 10 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 350 and 580 is 10
Notice that 10 = HCF(110,10) = HCF(120,110) = HCF(230,120) = HCF(350,230) = HCF(580,350) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 410 > 10, we apply the division lemma to 410 and 10, to get
410 = 10 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 10 and 410 is 10
Notice that 10 = HCF(410,10) .
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Frequently Asked Questions on HCF of 350, 580, 410 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 350, 580, 410?
Answer: HCF of 350, 580, 410 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 350, 580, 410 using Euclid's Algorithm?
Answer: For arbitrary numbers 350, 580, 410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.