Highest Common Factor of 4905, 9504 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 4905, 9504 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 4905, 9504 is 9 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 4905, 9504 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 4905, 9504 is 9.
HCF(4905, 9504) = 9
HCF of 4905, 9504 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4905, 9504 is 9.
Highest Common Factor of 4905,9504 is 9
Step 1: Since 9504 > 4905, we apply the division lemma to 9504 and 4905, to get
9504 = 4905 x 1 + 4599
Step 2: Since the reminder 4905 ≠ 0, we apply division lemma to 4599 and 4905, to get
4905 = 4599 x 1 + 306
Step 3: We consider the new divisor 4599 and the new remainder 306, and apply the division lemma to get
4599 = 306 x 15 + 9
We consider the new divisor 306 and the new remainder 9, and apply the division lemma to get
306 = 9 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4905 and 9504 is 9
Notice that 9 = HCF(306,9) = HCF(4599,306) = HCF(4905,4599) = HCF(9504,4905) .
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Frequently Asked Questions on HCF of 4905, 9504 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 4905, 9504?
Answer: HCF of 4905, 9504 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4905, 9504 using Euclid's Algorithm?
Answer: For arbitrary numbers 4905, 9504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.