Highest Common Factor of 1805, 7852 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 1805, 7852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1805, 7852 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 1805, 7852 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 1805, 7852 is 1.
HCF(1805, 7852) = 1
HCF of 1805, 7852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1805, 7852 is 1.
Highest Common Factor of 1805,7852 is 1
Step 1: Since 7852 > 1805, we apply the division lemma to 7852 and 1805, to get
7852 = 1805 x 4 + 632
Step 2: Since the reminder 1805 ≠ 0, we apply division lemma to 632 and 1805, to get
1805 = 632 x 2 + 541
Step 3: We consider the new divisor 632 and the new remainder 541, and apply the division lemma to get
632 = 541 x 1 + 91
We consider the new divisor 541 and the new remainder 91,and apply the division lemma to get
541 = 91 x 5 + 86
We consider the new divisor 91 and the new remainder 86,and apply the division lemma to get
91 = 86 x 1 + 5
We consider the new divisor 86 and the new remainder 5,and apply the division lemma to get
86 = 5 x 17 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1805 and 7852 is 1
Notice that 1 = HCF(5,1) = HCF(86,5) = HCF(91,86) = HCF(541,91) = HCF(632,541) = HCF(1805,632) = HCF(7852,1805) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1805, 7852 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 1805, 7852?
Answer: HCF of 1805, 7852 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1805, 7852 using Euclid's Algorithm?
Answer: For arbitrary numbers 1805, 7852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.