Highest Common Factor of 789, 2580 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 789, 2580 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 789, 2580 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 789, 2580 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 789, 2580 is 3.
HCF(789, 2580) = 3
HCF of 789, 2580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 789, 2580 is 3.
Highest Common Factor of 789,2580 is 3
Step 1: Since 2580 > 789, we apply the division lemma to 2580 and 789, to get
2580 = 789 x 3 + 213
Step 2: Since the reminder 789 ≠ 0, we apply division lemma to 213 and 789, to get
789 = 213 x 3 + 150
Step 3: We consider the new divisor 213 and the new remainder 150, and apply the division lemma to get
213 = 150 x 1 + 63
We consider the new divisor 150 and the new remainder 63,and apply the division lemma to get
150 = 63 x 2 + 24
We consider the new divisor 63 and the new remainder 24,and apply the division lemma to get
63 = 24 x 2 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 789 and 2580 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(63,24) = HCF(150,63) = HCF(213,150) = HCF(789,213) = HCF(2580,789) .
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Frequently Asked Questions on HCF of 789, 2580 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 789, 2580?
Answer: HCF of 789, 2580 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 789, 2580 using Euclid's Algorithm?
Answer: For arbitrary numbers 789, 2580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.