Highest Common Factor of 8325, 2110, 93056 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 8325, 2110, 93056 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8325, 2110, 93056 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 8325, 2110, 93056 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 8325, 2110, 93056 is 1.
HCF(8325, 2110, 93056) = 1
HCF of 8325, 2110, 93056 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8325, 2110, 93056 is 1.
Highest Common Factor of 8325,2110,93056 is 1
Step 1: Since 8325 > 2110, we apply the division lemma to 8325 and 2110, to get
8325 = 2110 x 3 + 1995
Step 2: Since the reminder 2110 ≠ 0, we apply division lemma to 1995 and 2110, to get
2110 = 1995 x 1 + 115
Step 3: We consider the new divisor 1995 and the new remainder 115, and apply the division lemma to get
1995 = 115 x 17 + 40
We consider the new divisor 115 and the new remainder 40,and apply the division lemma to get
115 = 40 x 2 + 35
We consider the new divisor 40 and the new remainder 35,and apply the division lemma to get
40 = 35 x 1 + 5
We consider the new divisor 35 and the new remainder 5,and apply the division lemma to get
35 = 5 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8325 and 2110 is 5
Notice that 5 = HCF(35,5) = HCF(40,35) = HCF(115,40) = HCF(1995,115) = HCF(2110,1995) = HCF(8325,2110) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93056 > 5, we apply the division lemma to 93056 and 5, to get
93056 = 5 x 18611 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 93056 is 1
Notice that 1 = HCF(5,1) = HCF(93056,5) .
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Frequently Asked Questions on HCF of 8325, 2110, 93056 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 8325, 2110, 93056?
Answer: HCF of 8325, 2110, 93056 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8325, 2110, 93056 using Euclid's Algorithm?
Answer: For arbitrary numbers 8325, 2110, 93056 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.