Highest Common Factor of 900, 571, 350 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 900, 571, 350 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 900, 571, 350 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 900, 571, 350 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 900, 571, 350 is 1.
HCF(900, 571, 350) = 1
HCF of 900, 571, 350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 900, 571, 350 is 1.
Highest Common Factor of 900,571,350 is 1
Step 1: Since 900 > 571, we apply the division lemma to 900 and 571, to get
900 = 571 x 1 + 329
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 329 and 571, to get
571 = 329 x 1 + 242
Step 3: We consider the new divisor 329 and the new remainder 242, and apply the division lemma to get
329 = 242 x 1 + 87
We consider the new divisor 242 and the new remainder 87,and apply the division lemma to get
242 = 87 x 2 + 68
We consider the new divisor 87 and the new remainder 68,and apply the division lemma to get
87 = 68 x 1 + 19
We consider the new divisor 68 and the new remainder 19,and apply the division lemma to get
68 = 19 x 3 + 11
We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 900 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(68,19) = HCF(87,68) = HCF(242,87) = HCF(329,242) = HCF(571,329) = HCF(900,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 350 > 1, we apply the division lemma to 350 and 1, to get
350 = 1 x 350 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 350 is 1
Notice that 1 = HCF(350,1) .
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Frequently Asked Questions on HCF of 900, 571, 350 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 900, 571, 350?
Answer: HCF of 900, 571, 350 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 900, 571, 350 using Euclid's Algorithm?
Answer: For arbitrary numbers 900, 571, 350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
