Highest Common Factor of 8399, 4554 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 8399, 4554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8399, 4554 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 8399, 4554 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 8399, 4554 is 1.
HCF(8399, 4554) = 1
HCF of 8399, 4554 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8399, 4554 is 1.
Highest Common Factor of 8399,4554 is 1
Step 1: Since 8399 > 4554, we apply the division lemma to 8399 and 4554, to get
8399 = 4554 x 1 + 3845
Step 2: Since the reminder 4554 ≠ 0, we apply division lemma to 3845 and 4554, to get
4554 = 3845 x 1 + 709
Step 3: We consider the new divisor 3845 and the new remainder 709, and apply the division lemma to get
3845 = 709 x 5 + 300
We consider the new divisor 709 and the new remainder 300,and apply the division lemma to get
709 = 300 x 2 + 109
We consider the new divisor 300 and the new remainder 109,and apply the division lemma to get
300 = 109 x 2 + 82
We consider the new divisor 109 and the new remainder 82,and apply the division lemma to get
109 = 82 x 1 + 27
We consider the new divisor 82 and the new remainder 27,and apply the division lemma to get
82 = 27 x 3 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8399 and 4554 is 1
Notice that 1 = HCF(27,1) = HCF(82,27) = HCF(109,82) = HCF(300,109) = HCF(709,300) = HCF(3845,709) = HCF(4554,3845) = HCF(8399,4554) .
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Frequently Asked Questions on HCF of 8399, 4554 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 8399, 4554?
Answer: HCF of 8399, 4554 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8399, 4554 using Euclid's Algorithm?
Answer: For arbitrary numbers 8399, 4554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.