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, 6852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1853, 6852 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, 6852 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, 6852 is 1.
HCF(1853, 6852) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1853, 6852 is 1.
Step 1: Since 6852 > 1853, we apply the division lemma to 6852 and 1853, to get
6852 = 1853 x 3 + 1293
Step 2: Since the reminder 1853 ≠ 0, we apply division lemma to 1293 and 1853, to get
1853 = 1293 x 1 + 560
Step 3: We consider the new divisor 1293 and the new remainder 560, and apply the division lemma to get
1293 = 560 x 2 + 173
We consider the new divisor 560 and the new remainder 173,and apply the division lemma to get
560 = 173 x 3 + 41
We consider the new divisor 173 and the new remainder 41,and apply the division lemma to get
173 = 41 x 4 + 9
We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get
41 = 9 x 4 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 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 1853 and 6852 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(173,41) = HCF(560,173) = HCF(1293,560) = HCF(1853,1293) = HCF(6852,1853) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 6852?
Answer: HCF of 1853, 6852 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1853, 6852 using Euclid's Algorithm?
Answer: For arbitrary numbers 1853, 6852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.