Highest Common Factor of 997, 42525 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, 42525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 997, 42525 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, 42525 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, 42525 is 1.
HCF(997, 42525) = 1
HCF of 997, 42525 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, 42525 is 1.
Highest Common Factor of 997,42525 is 1
Step 1: Since 42525 > 997, we apply the division lemma to 42525 and 997, to get
42525 = 997 x 42 + 651
Step 2: Since the reminder 997 ≠ 0, we apply division lemma to 651 and 997, to get
997 = 651 x 1 + 346
Step 3: We consider the new divisor 651 and the new remainder 346, and apply the division lemma to get
651 = 346 x 1 + 305
We consider the new divisor 346 and the new remainder 305,and apply the division lemma to get
346 = 305 x 1 + 41
We consider the new divisor 305 and the new remainder 41,and apply the division lemma to get
305 = 41 x 7 + 18
We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get
41 = 18 x 2 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 997 and 42525 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(305,41) = HCF(346,305) = HCF(651,346) = HCF(997,651) = HCF(42525,997) .
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Frequently Asked Questions on HCF of 997, 42525 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, 42525?
Answer: HCF of 997, 42525 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 997, 42525 using Euclid's Algorithm?
Answer: For arbitrary numbers 997, 42525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.