Highest Common Factor of 8580, 6435 using Euclid's algorithm
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 8580, 6435 i.e. 2145 the largest integer that leaves a remainder zero for all numbers.
HCF of 8580, 6435 is 2145 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 8580, 6435 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 8580, 6435 is 2145.
HCF(8580, 6435) = 2145
HCF of 8580, 6435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8580, 6435 is 2145.
Highest Common Factor of 8580,6435 is 2145
Step 1: Since 8580 > 6435, we apply the division lemma to 8580 and 6435, to get
8580 = 6435 x 1 + 2145
Step 2: Since the reminder 6435 ≠ 0, we apply division lemma to 2145 and 6435, to get
6435 = 2145 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2145, the HCF of 8580 and 6435 is 2145
Notice that 2145 = HCF(6435,2145) = HCF(8580,6435) .
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Frequently Asked Questions on HCF of 8580, 6435 using Euclid's Algorithm
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 8580, 6435?
Answer: HCF of 8580, 6435 is 2145 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8580, 6435 using Euclid's Algorithm?
Answer: For arbitrary numbers 8580, 6435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.