Highest Common Factor of 899, 648, 495 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 899, 648, 495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 899, 648, 495 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 899, 648, 495 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 899, 648, 495 is 1.
HCF(899, 648, 495) = 1
HCF of 899, 648, 495 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 899, 648, 495 is 1.
Highest Common Factor of 899,648,495 is 1
Step 1: Since 899 > 648, we apply the division lemma to 899 and 648, to get
899 = 648 x 1 + 251
Step 2: Since the reminder 648 ≠ 0, we apply division lemma to 251 and 648, to get
648 = 251 x 2 + 146
Step 3: We consider the new divisor 251 and the new remainder 146, and apply the division lemma to get
251 = 146 x 1 + 105
We consider the new divisor 146 and the new remainder 105,and apply the division lemma to get
146 = 105 x 1 + 41
We consider the new divisor 105 and the new remainder 41,and apply the division lemma to get
105 = 41 x 2 + 23
We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get
41 = 23 x 1 + 18
We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get
23 = 18 x 1 + 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 899 and 648 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(105,41) = HCF(146,105) = HCF(251,146) = HCF(648,251) = HCF(899,648) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 495 > 1, we apply the division lemma to 495 and 1, to get
495 = 1 x 495 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 495 is 1
Notice that 1 = HCF(495,1) .
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Frequently Asked Questions on HCF of 899, 648, 495 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 899, 648, 495?
Answer: HCF of 899, 648, 495 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 899, 648, 495 using Euclid's Algorithm?
Answer: For arbitrary numbers 899, 648, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.