Highest Common Factor of 1483, 9600 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 1483, 9600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1483, 9600 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 1483, 9600 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 1483, 9600 is 1.
HCF(1483, 9600) = 1
HCF of 1483, 9600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1483, 9600 is 1.
Highest Common Factor of 1483,9600 is 1
Step 1: Since 9600 > 1483, we apply the division lemma to 9600 and 1483, to get
9600 = 1483 x 6 + 702
Step 2: Since the reminder 1483 ≠ 0, we apply division lemma to 702 and 1483, to get
1483 = 702 x 2 + 79
Step 3: We consider the new divisor 702 and the new remainder 79, and apply the division lemma to get
702 = 79 x 8 + 70
We consider the new divisor 79 and the new remainder 70,and apply the division lemma to get
79 = 70 x 1 + 9
We consider the new divisor 70 and the new remainder 9,and apply the division lemma to get
70 = 9 x 7 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1483 and 9600 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(70,9) = HCF(79,70) = HCF(702,79) = HCF(1483,702) = HCF(9600,1483) .
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Frequently Asked Questions on HCF of 1483, 9600 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 1483, 9600?
Answer: HCF of 1483, 9600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1483, 9600 using Euclid's Algorithm?
Answer: For arbitrary numbers 1483, 9600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.