Highest Common Factor of 635, 300, 453 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 635, 300, 453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 635, 300, 453 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 635, 300, 453 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 635, 300, 453 is 1.
HCF(635, 300, 453) = 1
HCF of 635, 300, 453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 635, 300, 453 is 1.
Highest Common Factor of 635,300,453 is 1
Step 1: Since 635 > 300, we apply the division lemma to 635 and 300, to get
635 = 300 x 2 + 35
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 35 and 300, to get
300 = 35 x 8 + 20
Step 3: We consider the new divisor 35 and the new remainder 20, and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 635 and 300 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(300,35) = HCF(635,300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 453 > 5, we apply the division lemma to 453 and 5, to get
453 = 5 x 90 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: 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 5 and 453 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(453,5) .
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Frequently Asked Questions on HCF of 635, 300, 453 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 635, 300, 453?
Answer: HCF of 635, 300, 453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 635, 300, 453 using Euclid's Algorithm?
Answer: For arbitrary numbers 635, 300, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.