Highest Common Factor of 9884, 1855, 93813 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 9884, 1855, 93813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9884, 1855, 93813 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 9884, 1855, 93813 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 9884, 1855, 93813 is 1.
HCF(9884, 1855, 93813) = 1
HCF of 9884, 1855, 93813 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9884, 1855, 93813 is 1.
Highest Common Factor of 9884,1855,93813 is 1
Step 1: Since 9884 > 1855, we apply the division lemma to 9884 and 1855, to get
9884 = 1855 x 5 + 609
Step 2: Since the reminder 1855 ≠ 0, we apply division lemma to 609 and 1855, to get
1855 = 609 x 3 + 28
Step 3: We consider the new divisor 609 and the new remainder 28, and apply the division lemma to get
609 = 28 x 21 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9884 and 1855 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(609,28) = HCF(1855,609) = HCF(9884,1855) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93813 > 7, we apply the division lemma to 93813 and 7, to get
93813 = 7 x 13401 + 6
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 6 and 7, to get
7 = 6 x 1 + 1
Step 3: 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 7 and 93813 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(93813,7) .
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Frequently Asked Questions on HCF of 9884, 1855, 93813 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 9884, 1855, 93813?
Answer: HCF of 9884, 1855, 93813 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9884, 1855, 93813 using Euclid's Algorithm?
Answer: For arbitrary numbers 9884, 1855, 93813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.