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 3595, 4300 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3595, 4300 is 5 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 3595, 4300 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 3595, 4300 is 5.
HCF(3595, 4300) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3595, 4300 is 5.
Step 1: Since 4300 > 3595, we apply the division lemma to 4300 and 3595, to get
4300 = 3595 x 1 + 705
Step 2: Since the reminder 3595 ≠ 0, we apply division lemma to 705 and 3595, to get
3595 = 705 x 5 + 70
Step 3: We consider the new divisor 705 and the new remainder 70, and apply the division lemma to get
705 = 70 x 10 + 5
We consider the new divisor 70 and the new remainder 5, and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3595 and 4300 is 5
Notice that 5 = HCF(70,5) = HCF(705,70) = HCF(3595,705) = HCF(4300,3595) .
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 3595, 4300?
Answer: HCF of 3595, 4300 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3595, 4300 using Euclid's Algorithm?
Answer: For arbitrary numbers 3595, 4300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.