Highest Common Factor of 4513, 1900 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 4513, 1900 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4513, 1900 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 4513, 1900 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 4513, 1900 is 1.
HCF(4513, 1900) = 1
HCF of 4513, 1900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4513, 1900 is 1.
Highest Common Factor of 4513,1900 is 1
Step 1: Since 4513 > 1900, we apply the division lemma to 4513 and 1900, to get
4513 = 1900 x 2 + 713
Step 2: Since the reminder 1900 ≠ 0, we apply division lemma to 713 and 1900, to get
1900 = 713 x 2 + 474
Step 3: We consider the new divisor 713 and the new remainder 474, and apply the division lemma to get
713 = 474 x 1 + 239
We consider the new divisor 474 and the new remainder 239,and apply the division lemma to get
474 = 239 x 1 + 235
We consider the new divisor 239 and the new remainder 235,and apply the division lemma to get
239 = 235 x 1 + 4
We consider the new divisor 235 and the new remainder 4,and apply the division lemma to get
235 = 4 x 58 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4513 and 1900 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(235,4) = HCF(239,235) = HCF(474,239) = HCF(713,474) = HCF(1900,713) = HCF(4513,1900) .
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Frequently Asked Questions on HCF of 4513, 1900 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 4513, 1900?
Answer: HCF of 4513, 1900 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4513, 1900 using Euclid's Algorithm?
Answer: For arbitrary numbers 4513, 1900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.