Highest Common Factor of 495, 900, 253, 887 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 495, 900, 253, 887 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 900, 253, 887 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 495, 900, 253, 887 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 495, 900, 253, 887 is 1.
HCF(495, 900, 253, 887) = 1
HCF of 495, 900, 253, 887 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 495, 900, 253, 887 is 1.
Highest Common Factor of 495,900,253,887 is 1
Step 1: Since 900 > 495, we apply the division lemma to 900 and 495, to get
900 = 495 x 1 + 405
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 405 and 495, to get
495 = 405 x 1 + 90
Step 3: We consider the new divisor 405 and the new remainder 90, and apply the division lemma to get
405 = 90 x 4 + 45
We consider the new divisor 90 and the new remainder 45, and apply the division lemma to get
90 = 45 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 45, the HCF of 495 and 900 is 45
Notice that 45 = HCF(90,45) = HCF(405,90) = HCF(495,405) = HCF(900,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 253 > 45, we apply the division lemma to 253 and 45, to get
253 = 45 x 5 + 28
Step 2: Since the reminder 45 ≠ 0, we apply division lemma to 28 and 45, to get
45 = 28 x 1 + 17
Step 3: We consider the new divisor 28 and the new remainder 17, and apply the division lemma to get
28 = 17 x 1 + 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 45 and 253 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(45,28) = HCF(253,45) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 887 > 1, we apply the division lemma to 887 and 1, to get
887 = 1 x 887 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 887 is 1
Notice that 1 = HCF(887,1) .
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Frequently Asked Questions on HCF of 495, 900, 253, 887 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 495, 900, 253, 887?
Answer: HCF of 495, 900, 253, 887 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 900, 253, 887 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 900, 253, 887 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.