Highest Common Factor of 909, 638, 900 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 909, 638, 900 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 909, 638, 900 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 909, 638, 900 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 909, 638, 900 is 1.
HCF(909, 638, 900) = 1
HCF of 909, 638, 900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 909, 638, 900 is 1.
Highest Common Factor of 909,638,900 is 1
Step 1: Since 909 > 638, we apply the division lemma to 909 and 638, to get
909 = 638 x 1 + 271
Step 2: Since the reminder 638 ≠ 0, we apply division lemma to 271 and 638, to get
638 = 271 x 2 + 96
Step 3: We consider the new divisor 271 and the new remainder 96, and apply the division lemma to get
271 = 96 x 2 + 79
We consider the new divisor 96 and the new remainder 79,and apply the division lemma to get
96 = 79 x 1 + 17
We consider the new divisor 79 and the new remainder 17,and apply the division lemma to get
79 = 17 x 4 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 909 and 638 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(79,17) = HCF(96,79) = HCF(271,96) = HCF(638,271) = HCF(909,638) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 900 > 1, we apply the division lemma to 900 and 1, to get
900 = 1 x 900 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 900 is 1
Notice that 1 = HCF(900,1) .
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Frequently Asked Questions on HCF of 909, 638, 900 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 909, 638, 900?
Answer: HCF of 909, 638, 900 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 909, 638, 900 using Euclid's Algorithm?
Answer: For arbitrary numbers 909, 638, 900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.