Highest Common Factor of 571, 905, 232 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, 905, 232 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 571, 905, 232 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, 905, 232 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, 905, 232 is 1.
HCF(571, 905, 232) = 1
HCF of 571, 905, 232 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, 905, 232 is 1.
Highest Common Factor of 571,905,232 is 1
Step 1: Since 905 > 571, we apply the division lemma to 905 and 571, to get
905 = 571 x 1 + 334
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 334 and 571, to get
571 = 334 x 1 + 237
Step 3: We consider the new divisor 334 and the new remainder 237, and apply the division lemma to get
334 = 237 x 1 + 97
We consider the new divisor 237 and the new remainder 97,and apply the division lemma to get
237 = 97 x 2 + 43
We consider the new divisor 97 and the new remainder 43,and apply the division lemma to get
97 = 43 x 2 + 11
We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get
43 = 11 x 3 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 905 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(97,43) = HCF(237,97) = HCF(334,237) = HCF(571,334) = HCF(905,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 232 > 1, we apply the division lemma to 232 and 1, to get
232 = 1 x 232 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 232 is 1
Notice that 1 = HCF(232,1) .
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Frequently Asked Questions on HCF of 571, 905, 232 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, 905, 232?
Answer: HCF of 571, 905, 232 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 571, 905, 232 using Euclid's Algorithm?
Answer: For arbitrary numbers 571, 905, 232 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
