Highest Common Factor of 6473, 3625 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 6473, 3625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6473, 3625 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 6473, 3625 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 6473, 3625 is 1.
HCF(6473, 3625) = 1
HCF of 6473, 3625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6473, 3625 is 1.
Highest Common Factor of 6473,3625 is 1
Step 1: Since 6473 > 3625, we apply the division lemma to 6473 and 3625, to get
6473 = 3625 x 1 + 2848
Step 2: Since the reminder 3625 ≠ 0, we apply division lemma to 2848 and 3625, to get
3625 = 2848 x 1 + 777
Step 3: We consider the new divisor 2848 and the new remainder 777, and apply the division lemma to get
2848 = 777 x 3 + 517
We consider the new divisor 777 and the new remainder 517,and apply the division lemma to get
777 = 517 x 1 + 260
We consider the new divisor 517 and the new remainder 260,and apply the division lemma to get
517 = 260 x 1 + 257
We consider the new divisor 260 and the new remainder 257,and apply the division lemma to get
260 = 257 x 1 + 3
We consider the new divisor 257 and the new remainder 3,and apply the division lemma to get
257 = 3 x 85 + 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 6473 and 3625 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(257,3) = HCF(260,257) = HCF(517,260) = HCF(777,517) = HCF(2848,777) = HCF(3625,2848) = HCF(6473,3625) .
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Frequently Asked Questions on HCF of 6473, 3625 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 6473, 3625?
Answer: HCF of 6473, 3625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6473, 3625 using Euclid's Algorithm?
Answer: For arbitrary numbers 6473, 3625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.