Highest Common Factor of 1827, 1203 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 1827, 1203 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1827, 1203 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 1827, 1203 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 1827, 1203 is 3.
HCF(1827, 1203) = 3
HCF of 1827, 1203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1827, 1203 is 3.
Highest Common Factor of 1827,1203 is 3
Step 1: Since 1827 > 1203, we apply the division lemma to 1827 and 1203, to get
1827 = 1203 x 1 + 624
Step 2: Since the reminder 1203 ≠ 0, we apply division lemma to 624 and 1203, to get
1203 = 624 x 1 + 579
Step 3: We consider the new divisor 624 and the new remainder 579, and apply the division lemma to get
624 = 579 x 1 + 45
We consider the new divisor 579 and the new remainder 45,and apply the division lemma to get
579 = 45 x 12 + 39
We consider the new divisor 45 and the new remainder 39,and apply the division lemma to get
45 = 39 x 1 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1827 and 1203 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(45,39) = HCF(579,45) = HCF(624,579) = HCF(1203,624) = HCF(1827,1203) .
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Frequently Asked Questions on HCF of 1827, 1203 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 1827, 1203?
Answer: HCF of 1827, 1203 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1827, 1203 using Euclid's Algorithm?
Answer: For arbitrary numbers 1827, 1203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.