Highest Common Factor of 8328, 1503 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 8328, 1503 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8328, 1503 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 8328, 1503 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 8328, 1503 is 3.
HCF(8328, 1503) = 3
HCF of 8328, 1503 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8328, 1503 is 3.
Highest Common Factor of 8328,1503 is 3
Step 1: Since 8328 > 1503, we apply the division lemma to 8328 and 1503, to get
8328 = 1503 x 5 + 813
Step 2: Since the reminder 1503 ≠ 0, we apply division lemma to 813 and 1503, to get
1503 = 813 x 1 + 690
Step 3: We consider the new divisor 813 and the new remainder 690, and apply the division lemma to get
813 = 690 x 1 + 123
We consider the new divisor 690 and the new remainder 123,and apply the division lemma to get
690 = 123 x 5 + 75
We consider the new divisor 123 and the new remainder 75,and apply the division lemma to get
123 = 75 x 1 + 48
We consider the new divisor 75 and the new remainder 48,and apply the division lemma to get
75 = 48 x 1 + 27
We consider the new divisor 48 and the new remainder 27,and apply the division lemma to get
48 = 27 x 1 + 21
We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get
27 = 21 x 1 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 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 8328 and 1503 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) = HCF(75,48) = HCF(123,75) = HCF(690,123) = HCF(813,690) = HCF(1503,813) = HCF(8328,1503) .
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Frequently Asked Questions on HCF of 8328, 1503 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 8328, 1503?
Answer: HCF of 8328, 1503 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8328, 1503 using Euclid's Algorithm?
Answer: For arbitrary numbers 8328, 1503 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.