Highest Common Factor of 4825, 6304 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 4825, 6304 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4825, 6304 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 4825, 6304 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 4825, 6304 is 1.
HCF(4825, 6304) = 1
HCF of 4825, 6304 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4825, 6304 is 1.
Highest Common Factor of 4825,6304 is 1
Step 1: Since 6304 > 4825, we apply the division lemma to 6304 and 4825, to get
6304 = 4825 x 1 + 1479
Step 2: Since the reminder 4825 ≠ 0, we apply division lemma to 1479 and 4825, to get
4825 = 1479 x 3 + 388
Step 3: We consider the new divisor 1479 and the new remainder 388, and apply the division lemma to get
1479 = 388 x 3 + 315
We consider the new divisor 388 and the new remainder 315,and apply the division lemma to get
388 = 315 x 1 + 73
We consider the new divisor 315 and the new remainder 73,and apply the division lemma to get
315 = 73 x 4 + 23
We consider the new divisor 73 and the new remainder 23,and apply the division lemma to get
73 = 23 x 3 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4825 and 6304 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(73,23) = HCF(315,73) = HCF(388,315) = HCF(1479,388) = HCF(4825,1479) = HCF(6304,4825) .
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Frequently Asked Questions on HCF of 4825, 6304 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 4825, 6304?
Answer: HCF of 4825, 6304 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4825, 6304 using Euclid's Algorithm?
Answer: For arbitrary numbers 4825, 6304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.