Highest Common Factor of 5207, 4305 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 5207, 4305 i.e. 41 the largest integer that leaves a remainder zero for all numbers.
HCF of 5207, 4305 is 41 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 5207, 4305 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 5207, 4305 is 41.
HCF(5207, 4305) = 41
HCF of 5207, 4305 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5207, 4305 is 41.
Highest Common Factor of 5207,4305 is 41
Step 1: Since 5207 > 4305, we apply the division lemma to 5207 and 4305, to get
5207 = 4305 x 1 + 902
Step 2: Since the reminder 4305 ≠ 0, we apply division lemma to 902 and 4305, to get
4305 = 902 x 4 + 697
Step 3: We consider the new divisor 902 and the new remainder 697, and apply the division lemma to get
902 = 697 x 1 + 205
We consider the new divisor 697 and the new remainder 205,and apply the division lemma to get
697 = 205 x 3 + 82
We consider the new divisor 205 and the new remainder 82,and apply the division lemma to get
205 = 82 x 2 + 41
We consider the new divisor 82 and the new remainder 41,and apply the division lemma to get
82 = 41 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 5207 and 4305 is 41
Notice that 41 = HCF(82,41) = HCF(205,82) = HCF(697,205) = HCF(902,697) = HCF(4305,902) = HCF(5207,4305) .
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Frequently Asked Questions on HCF of 5207, 4305 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 5207, 4305?
Answer: HCF of 5207, 4305 is 41 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5207, 4305 using Euclid's Algorithm?
Answer: For arbitrary numbers 5207, 4305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.