Highest Common Factor of 997, 529, 851 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 997, 529, 851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 997, 529, 851 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 997, 529, 851 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 997, 529, 851 is 1.
HCF(997, 529, 851) = 1
HCF of 997, 529, 851 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 997, 529, 851 is 1.
Highest Common Factor of 997,529,851 is 1
Step 1: Since 997 > 529, we apply the division lemma to 997 and 529, to get
997 = 529 x 1 + 468
Step 2: Since the reminder 529 ≠ 0, we apply division lemma to 468 and 529, to get
529 = 468 x 1 + 61
Step 3: We consider the new divisor 468 and the new remainder 61, and apply the division lemma to get
468 = 61 x 7 + 41
We consider the new divisor 61 and the new remainder 41,and apply the division lemma to get
61 = 41 x 1 + 20
We consider the new divisor 41 and the new remainder 20,and apply the division lemma to get
41 = 20 x 2 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 997 and 529 is 1
Notice that 1 = HCF(20,1) = HCF(41,20) = HCF(61,41) = HCF(468,61) = HCF(529,468) = HCF(997,529) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 851 > 1, we apply the division lemma to 851 and 1, to get
851 = 1 x 851 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 851 is 1
Notice that 1 = HCF(851,1) .
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Frequently Asked Questions on HCF of 997, 529, 851 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 997, 529, 851?
Answer: HCF of 997, 529, 851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 997, 529, 851 using Euclid's Algorithm?
Answer: For arbitrary numbers 997, 529, 851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.