Highest Common Factor of 1853, 5000 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 1853, 5000 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1853, 5000 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 1853, 5000 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 1853, 5000 is 1.
HCF(1853, 5000) = 1
HCF of 1853, 5000 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1853, 5000 is 1.
Highest Common Factor of 1853,5000 is 1
Step 1: Since 5000 > 1853, we apply the division lemma to 5000 and 1853, to get
5000 = 1853 x 2 + 1294
Step 2: Since the reminder 1853 ≠ 0, we apply division lemma to 1294 and 1853, to get
1853 = 1294 x 1 + 559
Step 3: We consider the new divisor 1294 and the new remainder 559, and apply the division lemma to get
1294 = 559 x 2 + 176
We consider the new divisor 559 and the new remainder 176,and apply the division lemma to get
559 = 176 x 3 + 31
We consider the new divisor 176 and the new remainder 31,and apply the division lemma to get
176 = 31 x 5 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1853 and 5000 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(176,31) = HCF(559,176) = HCF(1294,559) = HCF(1853,1294) = HCF(5000,1853) .
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Frequently Asked Questions on HCF of 1853, 5000 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 1853, 5000?
Answer: HCF of 1853, 5000 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1853, 5000 using Euclid's Algorithm?
Answer: For arbitrary numbers 1853, 5000 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.