Highest Common Factor of 8295, 4484 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 8295, 4484 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8295, 4484 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 8295, 4484 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 8295, 4484 is 1.
HCF(8295, 4484) = 1
HCF of 8295, 4484 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8295, 4484 is 1.
Highest Common Factor of 8295,4484 is 1
Step 1: Since 8295 > 4484, we apply the division lemma to 8295 and 4484, to get
8295 = 4484 x 1 + 3811
Step 2: Since the reminder 4484 ≠ 0, we apply division lemma to 3811 and 4484, to get
4484 = 3811 x 1 + 673
Step 3: We consider the new divisor 3811 and the new remainder 673, and apply the division lemma to get
3811 = 673 x 5 + 446
We consider the new divisor 673 and the new remainder 446,and apply the division lemma to get
673 = 446 x 1 + 227
We consider the new divisor 446 and the new remainder 227,and apply the division lemma to get
446 = 227 x 1 + 219
We consider the new divisor 227 and the new remainder 219,and apply the division lemma to get
227 = 219 x 1 + 8
We consider the new divisor 219 and the new remainder 8,and apply the division lemma to get
219 = 8 x 27 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8295 and 4484 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(219,8) = HCF(227,219) = HCF(446,227) = HCF(673,446) = HCF(3811,673) = HCF(4484,3811) = HCF(8295,4484) .
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Frequently Asked Questions on HCF of 8295, 4484 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 8295, 4484?
Answer: HCF of 8295, 4484 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8295, 4484 using Euclid's Algorithm?
Answer: For arbitrary numbers 8295, 4484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
