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 580, 4060 i.e. 580 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 4060 is 580 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 580, 4060 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 580, 4060 is 580.
HCF(580, 4060) = 580
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 580, 4060 is 580.
Step 1: Since 4060 > 580, we apply the division lemma to 4060 and 580, to get
4060 = 580 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 580, the HCF of 580 and 4060 is 580
Notice that 580 = HCF(4060,580) .
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 580, 4060?
Answer: HCF of 580, 4060 is 580 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 4060 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 4060 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.