Highest Common Factor of 4630, 5461 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 4630, 5461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4630, 5461 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 4630, 5461 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 4630, 5461 is 1.
HCF(4630, 5461) = 1
HCF of 4630, 5461 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4630, 5461 is 1.
Highest Common Factor of 4630,5461 is 1
Step 1: Since 5461 > 4630, we apply the division lemma to 5461 and 4630, to get
5461 = 4630 x 1 + 831
Step 2: Since the reminder 4630 ≠ 0, we apply division lemma to 831 and 4630, to get
4630 = 831 x 5 + 475
Step 3: We consider the new divisor 831 and the new remainder 475, and apply the division lemma to get
831 = 475 x 1 + 356
We consider the new divisor 475 and the new remainder 356,and apply the division lemma to get
475 = 356 x 1 + 119
We consider the new divisor 356 and the new remainder 119,and apply the division lemma to get
356 = 119 x 2 + 118
We consider the new divisor 119 and the new remainder 118,and apply the division lemma to get
119 = 118 x 1 + 1
We consider the new divisor 118 and the new remainder 1,and apply the division lemma to get
118 = 1 x 118 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4630 and 5461 is 1
Notice that 1 = HCF(118,1) = HCF(119,118) = HCF(356,119) = HCF(475,356) = HCF(831,475) = HCF(4630,831) = HCF(5461,4630) .
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Frequently Asked Questions on HCF of 4630, 5461 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 4630, 5461?
Answer: HCF of 4630, 5461 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4630, 5461 using Euclid's Algorithm?
Answer: For arbitrary numbers 4630, 5461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.