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 5541, 9618 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5541, 9618 is 3 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 5541, 9618 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 5541, 9618 is 3.
HCF(5541, 9618) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5541, 9618 is 3.
Step 1: Since 9618 > 5541, we apply the division lemma to 9618 and 5541, to get
9618 = 5541 x 1 + 4077
Step 2: Since the reminder 5541 ≠ 0, we apply division lemma to 4077 and 5541, to get
5541 = 4077 x 1 + 1464
Step 3: We consider the new divisor 4077 and the new remainder 1464, and apply the division lemma to get
4077 = 1464 x 2 + 1149
We consider the new divisor 1464 and the new remainder 1149,and apply the division lemma to get
1464 = 1149 x 1 + 315
We consider the new divisor 1149 and the new remainder 315,and apply the division lemma to get
1149 = 315 x 3 + 204
We consider the new divisor 315 and the new remainder 204,and apply the division lemma to get
315 = 204 x 1 + 111
We consider the new divisor 204 and the new remainder 111,and apply the division lemma to get
204 = 111 x 1 + 93
We consider the new divisor 111 and the new remainder 93,and apply the division lemma to get
111 = 93 x 1 + 18
We consider the new divisor 93 and the new remainder 18,and apply the division lemma to get
93 = 18 x 5 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5541 and 9618 is 3
Notice that 3 = HCF(18,3) = HCF(93,18) = HCF(111,93) = HCF(204,111) = HCF(315,204) = HCF(1149,315) = HCF(1464,1149) = HCF(4077,1464) = HCF(5541,4077) = HCF(9618,5541) .
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 5541, 9618?
Answer: HCF of 5541, 9618 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5541, 9618 using Euclid's Algorithm?
Answer: For arbitrary numbers 5541, 9618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.