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 5262, 9845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5262, 9845 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 5262, 9845 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 5262, 9845 is 1.
HCF(5262, 9845) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5262, 9845 is 1.
Step 1: Since 9845 > 5262, we apply the division lemma to 9845 and 5262, to get
9845 = 5262 x 1 + 4583
Step 2: Since the reminder 5262 ≠ 0, we apply division lemma to 4583 and 5262, to get
5262 = 4583 x 1 + 679
Step 3: We consider the new divisor 4583 and the new remainder 679, and apply the division lemma to get
4583 = 679 x 6 + 509
We consider the new divisor 679 and the new remainder 509,and apply the division lemma to get
679 = 509 x 1 + 170
We consider the new divisor 509 and the new remainder 170,and apply the division lemma to get
509 = 170 x 2 + 169
We consider the new divisor 170 and the new remainder 169,and apply the division lemma to get
170 = 169 x 1 + 1
We consider the new divisor 169 and the new remainder 1,and apply the division lemma to get
169 = 1 x 169 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5262 and 9845 is 1
Notice that 1 = HCF(169,1) = HCF(170,169) = HCF(509,170) = HCF(679,509) = HCF(4583,679) = HCF(5262,4583) = HCF(9845,5262) .
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 5262, 9845?
Answer: HCF of 5262, 9845 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5262, 9845 using Euclid's Algorithm?
Answer: For arbitrary numbers 5262, 9845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.