Highest Common Factor of 571, 350, 494 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 571, 350, 494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 571, 350, 494 is 1 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 571, 350, 494 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 571, 350, 494 is 1.
HCF(571, 350, 494) = 1
HCF of 571, 350, 494 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 571, 350, 494 is 1.
Highest Common Factor of 571,350,494 is 1
Step 1: Since 571 > 350, we apply the division lemma to 571 and 350, to get
571 = 350 x 1 + 221
Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 221 and 350, to get
350 = 221 x 1 + 129
Step 3: We consider the new divisor 221 and the new remainder 129, and apply the division lemma to get
221 = 129 x 1 + 92
We consider the new divisor 129 and the new remainder 92,and apply the division lemma to get
129 = 92 x 1 + 37
We consider the new divisor 92 and the new remainder 37,and apply the division lemma to get
92 = 37 x 2 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 350 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(92,37) = HCF(129,92) = HCF(221,129) = HCF(350,221) = HCF(571,350) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 494 > 1, we apply the division lemma to 494 and 1, to get
494 = 1 x 494 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 494 is 1
Notice that 1 = HCF(494,1) .
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Frequently Asked Questions on HCF of 571, 350, 494 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 571, 350, 494?
Answer: HCF of 571, 350, 494 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 571, 350, 494 using Euclid's Algorithm?
Answer: For arbitrary numbers 571, 350, 494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
