Highest Common Factor of 7885, 2589, 78512 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 7885, 2589, 78512 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7885, 2589, 78512 is 1 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 7885, 2589, 78512 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 7885, 2589, 78512 is 1.
HCF(7885, 2589, 78512) = 1
HCF of 7885, 2589, 78512 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7885, 2589, 78512 is 1.
Highest Common Factor of 7885,2589,78512 is 1
Step 1: Since 7885 > 2589, we apply the division lemma to 7885 and 2589, to get
7885 = 2589 x 3 + 118
Step 2: Since the reminder 2589 ≠ 0, we apply division lemma to 118 and 2589, to get
2589 = 118 x 21 + 111
Step 3: We consider the new divisor 118 and the new remainder 111, and apply the division lemma to get
118 = 111 x 1 + 7
We consider the new divisor 111 and the new remainder 7,and apply the division lemma to get
111 = 7 x 15 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7885 and 2589 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(111,7) = HCF(118,111) = HCF(2589,118) = HCF(7885,2589) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78512 > 1, we apply the division lemma to 78512 and 1, to get
78512 = 1 x 78512 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78512 is 1
Notice that 1 = HCF(78512,1) .
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Frequently Asked Questions on HCF of 7885, 2589, 78512 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 7885, 2589, 78512?
Answer: HCF of 7885, 2589, 78512 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7885, 2589, 78512 using Euclid's Algorithm?
Answer: For arbitrary numbers 7885, 2589, 78512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.