Highest Common Factor of 4409, 3163 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 4409, 3163 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4409, 3163 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 4409, 3163 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 4409, 3163 is 1.
HCF(4409, 3163) = 1
HCF of 4409, 3163 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4409, 3163 is 1.
Highest Common Factor of 4409,3163 is 1
Step 1: Since 4409 > 3163, we apply the division lemma to 4409 and 3163, to get
4409 = 3163 x 1 + 1246
Step 2: Since the reminder 3163 ≠ 0, we apply division lemma to 1246 and 3163, to get
3163 = 1246 x 2 + 671
Step 3: We consider the new divisor 1246 and the new remainder 671, and apply the division lemma to get
1246 = 671 x 1 + 575
We consider the new divisor 671 and the new remainder 575,and apply the division lemma to get
671 = 575 x 1 + 96
We consider the new divisor 575 and the new remainder 96,and apply the division lemma to get
575 = 96 x 5 + 95
We consider the new divisor 96 and the new remainder 95,and apply the division lemma to get
96 = 95 x 1 + 1
We consider the new divisor 95 and the new remainder 1,and apply the division lemma to get
95 = 1 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4409 and 3163 is 1
Notice that 1 = HCF(95,1) = HCF(96,95) = HCF(575,96) = HCF(671,575) = HCF(1246,671) = HCF(3163,1246) = HCF(4409,3163) .
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Frequently Asked Questions on HCF of 4409, 3163 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 4409, 3163?
Answer: HCF of 4409, 3163 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4409, 3163 using Euclid's Algorithm?
Answer: For arbitrary numbers 4409, 3163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
