Highest Common Factor of 782, 571 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 782, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 571 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 782, 571 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 782, 571 is 1.
HCF(782, 571) = 1
HCF of 782, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 782, 571 is 1.
Highest Common Factor of 782,571 is 1
Step 1: Since 782 > 571, we apply the division lemma to 782 and 571, to get
782 = 571 x 1 + 211
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 211 and 571, to get
571 = 211 x 2 + 149
Step 3: We consider the new divisor 211 and the new remainder 149, and apply the division lemma to get
211 = 149 x 1 + 62
We consider the new divisor 149 and the new remainder 62,and apply the division lemma to get
149 = 62 x 2 + 25
We consider the new divisor 62 and the new remainder 25,and apply the division lemma to get
62 = 25 x 2 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 782 and 571 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(62,25) = HCF(149,62) = HCF(211,149) = HCF(571,211) = HCF(782,571) .
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Frequently Asked Questions on HCF of 782, 571 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 782, 571?
Answer: HCF of 782, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.