Highest Common Factor of 903, 552 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 903, 552 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 903, 552 is 3 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 903, 552 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 903, 552 is 3.
HCF(903, 552) = 3
HCF of 903, 552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 903, 552 is 3.
Highest Common Factor of 903,552 is 3
Step 1: Since 903 > 552, we apply the division lemma to 903 and 552, to get
903 = 552 x 1 + 351
Step 2: Since the reminder 552 ≠ 0, we apply division lemma to 351 and 552, to get
552 = 351 x 1 + 201
Step 3: We consider the new divisor 351 and the new remainder 201, and apply the division lemma to get
351 = 201 x 1 + 150
We consider the new divisor 201 and the new remainder 150,and apply the division lemma to get
201 = 150 x 1 + 51
We consider the new divisor 150 and the new remainder 51,and apply the division lemma to get
150 = 51 x 2 + 48
We consider the new divisor 51 and the new remainder 48,and apply the division lemma to get
51 = 48 x 1 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 903 and 552 is 3
Notice that 3 = HCF(48,3) = HCF(51,48) = HCF(150,51) = HCF(201,150) = HCF(351,201) = HCF(552,351) = HCF(903,552) .
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Frequently Asked Questions on HCF of 903, 552 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 903, 552?
Answer: HCF of 903, 552 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 903, 552 using Euclid's Algorithm?
Answer: For arbitrary numbers 903, 552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.