Highest Common Factor of 7581, 9801, 48291 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 7581, 9801, 48291 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7581, 9801, 48291 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 7581, 9801, 48291 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 7581, 9801, 48291 is 3.
HCF(7581, 9801, 48291) = 3
HCF of 7581, 9801, 48291 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7581, 9801, 48291 is 3.
Highest Common Factor of 7581,9801,48291 is 3
Step 1: Since 9801 > 7581, we apply the division lemma to 9801 and 7581, to get
9801 = 7581 x 1 + 2220
Step 2: Since the reminder 7581 ≠ 0, we apply division lemma to 2220 and 7581, to get
7581 = 2220 x 3 + 921
Step 3: We consider the new divisor 2220 and the new remainder 921, and apply the division lemma to get
2220 = 921 x 2 + 378
We consider the new divisor 921 and the new remainder 378,and apply the division lemma to get
921 = 378 x 2 + 165
We consider the new divisor 378 and the new remainder 165,and apply the division lemma to get
378 = 165 x 2 + 48
We consider the new divisor 165 and the new remainder 48,and apply the division lemma to get
165 = 48 x 3 + 21
We consider the new divisor 48 and the new remainder 21,and apply the division lemma to get
48 = 21 x 2 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 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 7581 and 9801 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(48,21) = HCF(165,48) = HCF(378,165) = HCF(921,378) = HCF(2220,921) = HCF(7581,2220) = HCF(9801,7581) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48291 > 3, we apply the division lemma to 48291 and 3, to get
48291 = 3 x 16097 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 48291 is 3
Notice that 3 = HCF(48291,3) .
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Frequently Asked Questions on HCF of 7581, 9801, 48291 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 7581, 9801, 48291?
Answer: HCF of 7581, 9801, 48291 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7581, 9801, 48291 using Euclid's Algorithm?
Answer: For arbitrary numbers 7581, 9801, 48291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.