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 5841, 9435 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5841, 9435 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 5841, 9435 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 5841, 9435 is 3.
HCF(5841, 9435) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5841, 9435 is 3.
Step 1: Since 9435 > 5841, we apply the division lemma to 9435 and 5841, to get
9435 = 5841 x 1 + 3594
Step 2: Since the reminder 5841 ≠ 0, we apply division lemma to 3594 and 5841, to get
5841 = 3594 x 1 + 2247
Step 3: We consider the new divisor 3594 and the new remainder 2247, and apply the division lemma to get
3594 = 2247 x 1 + 1347
We consider the new divisor 2247 and the new remainder 1347,and apply the division lemma to get
2247 = 1347 x 1 + 900
We consider the new divisor 1347 and the new remainder 900,and apply the division lemma to get
1347 = 900 x 1 + 447
We consider the new divisor 900 and the new remainder 447,and apply the division lemma to get
900 = 447 x 2 + 6
We consider the new divisor 447 and the new remainder 6,and apply the division lemma to get
447 = 6 x 74 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5841 and 9435 is 3
Notice that 3 = HCF(6,3) = HCF(447,6) = HCF(900,447) = HCF(1347,900) = HCF(2247,1347) = HCF(3594,2247) = HCF(5841,3594) = HCF(9435,5841) .
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 5841, 9435?
Answer: HCF of 5841, 9435 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5841, 9435 using Euclid's Algorithm?
Answer: For arbitrary numbers 5841, 9435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.