Highest Common Factor of 9831, 3280, 74284 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 9831, 3280, 74284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9831, 3280, 74284 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 9831, 3280, 74284 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 9831, 3280, 74284 is 1.
HCF(9831, 3280, 74284) = 1
HCF of 9831, 3280, 74284 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9831, 3280, 74284 is 1.
Highest Common Factor of 9831,3280,74284 is 1
Step 1: Since 9831 > 3280, we apply the division lemma to 9831 and 3280, to get
9831 = 3280 x 2 + 3271
Step 2: Since the reminder 3280 ≠ 0, we apply division lemma to 3271 and 3280, to get
3280 = 3271 x 1 + 9
Step 3: We consider the new divisor 3271 and the new remainder 9, and apply the division lemma to get
3271 = 9 x 363 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9831 and 3280 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(3271,9) = HCF(3280,3271) = HCF(9831,3280) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 74284 > 1, we apply the division lemma to 74284 and 1, to get
74284 = 1 x 74284 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 74284 is 1
Notice that 1 = HCF(74284,1) .
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Frequently Asked Questions on HCF of 9831, 3280, 74284 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 9831, 3280, 74284?
Answer: HCF of 9831, 3280, 74284 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9831, 3280, 74284 using Euclid's Algorithm?
Answer: For arbitrary numbers 9831, 3280, 74284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.