Highest Common Factor of 4501, 4104 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 4501, 4104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4501, 4104 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 4501, 4104 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 4501, 4104 is 1.
HCF(4501, 4104) = 1
HCF of 4501, 4104 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4501, 4104 is 1.
Highest Common Factor of 4501,4104 is 1
Step 1: Since 4501 > 4104, we apply the division lemma to 4501 and 4104, to get
4501 = 4104 x 1 + 397
Step 2: Since the reminder 4104 ≠ 0, we apply division lemma to 397 and 4104, to get
4104 = 397 x 10 + 134
Step 3: We consider the new divisor 397 and the new remainder 134, and apply the division lemma to get
397 = 134 x 2 + 129
We consider the new divisor 134 and the new remainder 129,and apply the division lemma to get
134 = 129 x 1 + 5
We consider the new divisor 129 and the new remainder 5,and apply the division lemma to get
129 = 5 x 25 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4501 and 4104 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(129,5) = HCF(134,129) = HCF(397,134) = HCF(4104,397) = HCF(4501,4104) .
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Frequently Asked Questions on HCF of 4501, 4104 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 4501, 4104?
Answer: HCF of 4501, 4104 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4501, 4104 using Euclid's Algorithm?
Answer: For arbitrary numbers 4501, 4104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.