Highest Common Factor of 1503, 8438 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 1503, 8438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1503, 8438 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 1503, 8438 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 1503, 8438 is 1.
HCF(1503, 8438) = 1
HCF of 1503, 8438 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1503, 8438 is 1.
Highest Common Factor of 1503,8438 is 1
Step 1: Since 8438 > 1503, we apply the division lemma to 8438 and 1503, to get
8438 = 1503 x 5 + 923
Step 2: Since the reminder 1503 ≠ 0, we apply division lemma to 923 and 1503, to get
1503 = 923 x 1 + 580
Step 3: We consider the new divisor 923 and the new remainder 580, and apply the division lemma to get
923 = 580 x 1 + 343
We consider the new divisor 580 and the new remainder 343,and apply the division lemma to get
580 = 343 x 1 + 237
We consider the new divisor 343 and the new remainder 237,and apply the division lemma to get
343 = 237 x 1 + 106
We consider the new divisor 237 and the new remainder 106,and apply the division lemma to get
237 = 106 x 2 + 25
We consider the new divisor 106 and the new remainder 25,and apply the division lemma to get
106 = 25 x 4 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1503 and 8438 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(106,25) = HCF(237,106) = HCF(343,237) = HCF(580,343) = HCF(923,580) = HCF(1503,923) = HCF(8438,1503) .
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Frequently Asked Questions on HCF of 1503, 8438 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 1503, 8438?
Answer: HCF of 1503, 8438 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1503, 8438 using Euclid's Algorithm?
Answer: For arbitrary numbers 1503, 8438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.