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 4341, 9594 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4341, 9594 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 4341, 9594 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 4341, 9594 is 3.
HCF(4341, 9594) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4341, 9594 is 3.
Step 1: Since 9594 > 4341, we apply the division lemma to 9594 and 4341, to get
9594 = 4341 x 2 + 912
Step 2: Since the reminder 4341 ≠ 0, we apply division lemma to 912 and 4341, to get
4341 = 912 x 4 + 693
Step 3: We consider the new divisor 912 and the new remainder 693, and apply the division lemma to get
912 = 693 x 1 + 219
We consider the new divisor 693 and the new remainder 219,and apply the division lemma to get
693 = 219 x 3 + 36
We consider the new divisor 219 and the new remainder 36,and apply the division lemma to get
219 = 36 x 6 + 3
We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get
36 = 3 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4341 and 9594 is 3
Notice that 3 = HCF(36,3) = HCF(219,36) = HCF(693,219) = HCF(912,693) = HCF(4341,912) = HCF(9594,4341) .
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 4341, 9594?
Answer: HCF of 4341, 9594 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4341, 9594 using Euclid's Algorithm?
Answer: For arbitrary numbers 4341, 9594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.