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 3594, 8628 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 3594, 8628 is 6 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 3594, 8628 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 3594, 8628 is 6.
HCF(3594, 8628) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3594, 8628 is 6.
Step 1: Since 8628 > 3594, we apply the division lemma to 8628 and 3594, to get
8628 = 3594 x 2 + 1440
Step 2: Since the reminder 3594 ≠ 0, we apply division lemma to 1440 and 3594, to get
3594 = 1440 x 2 + 714
Step 3: We consider the new divisor 1440 and the new remainder 714, and apply the division lemma to get
1440 = 714 x 2 + 12
We consider the new divisor 714 and the new remainder 12,and apply the division lemma to get
714 = 12 x 59 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 3594 and 8628 is 6
Notice that 6 = HCF(12,6) = HCF(714,12) = HCF(1440,714) = HCF(3594,1440) = HCF(8628,3594) .
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 3594, 8628?
Answer: HCF of 3594, 8628 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3594, 8628 using Euclid's Algorithm?
Answer: For arbitrary numbers 3594, 8628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.