Highest Common Factor of 1853, 3204 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, 3204 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1853, 3204 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, 3204 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, 3204 is 1.
HCF(1853, 3204) = 1
HCF of 1853, 3204 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, 3204 is 1.
Highest Common Factor of 1853,3204 is 1
Step 1: Since 3204 > 1853, we apply the division lemma to 3204 and 1853, to get
3204 = 1853 x 1 + 1351
Step 2: Since the reminder 1853 ≠ 0, we apply division lemma to 1351 and 1853, to get
1853 = 1351 x 1 + 502
Step 3: We consider the new divisor 1351 and the new remainder 502, and apply the division lemma to get
1351 = 502 x 2 + 347
We consider the new divisor 502 and the new remainder 347,and apply the division lemma to get
502 = 347 x 1 + 155
We consider the new divisor 347 and the new remainder 155,and apply the division lemma to get
347 = 155 x 2 + 37
We consider the new divisor 155 and the new remainder 37,and apply the division lemma to get
155 = 37 x 4 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 1853 and 3204 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(155,37) = HCF(347,155) = HCF(502,347) = HCF(1351,502) = HCF(1853,1351) = HCF(3204,1853) .
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Frequently Asked Questions on HCF of 1853, 3204 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, 3204?
Answer: HCF of 1853, 3204 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1853, 3204 using Euclid's Algorithm?
Answer: For arbitrary numbers 1853, 3204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
