Highest Common Factor of 4621, 4175 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 4621, 4175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4621, 4175 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 4621, 4175 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 4621, 4175 is 1.
HCF(4621, 4175) = 1
HCF of 4621, 4175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4621, 4175 is 1.
Highest Common Factor of 4621,4175 is 1
Step 1: Since 4621 > 4175, we apply the division lemma to 4621 and 4175, to get
4621 = 4175 x 1 + 446
Step 2: Since the reminder 4175 ≠ 0, we apply division lemma to 446 and 4175, to get
4175 = 446 x 9 + 161
Step 3: We consider the new divisor 446 and the new remainder 161, and apply the division lemma to get
446 = 161 x 2 + 124
We consider the new divisor 161 and the new remainder 124,and apply the division lemma to get
161 = 124 x 1 + 37
We consider the new divisor 124 and the new remainder 37,and apply the division lemma to get
124 = 37 x 3 + 13
We consider the new divisor 37 and the new remainder 13,and apply the division lemma to get
37 = 13 x 2 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 4621 and 4175 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(37,13) = HCF(124,37) = HCF(161,124) = HCF(446,161) = HCF(4175,446) = HCF(4621,4175) .
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Frequently Asked Questions on HCF of 4621, 4175 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 4621, 4175?
Answer: HCF of 4621, 4175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4621, 4175 using Euclid's Algorithm?
Answer: For arbitrary numbers 4621, 4175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
