Highest Common Factor of 5331, 2124 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 5331, 2124 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5331, 2124 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 5331, 2124 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 5331, 2124 is 3.
HCF(5331, 2124) = 3
HCF of 5331, 2124 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5331, 2124 is 3.
Highest Common Factor of 5331,2124 is 3
Step 1: Since 5331 > 2124, we apply the division lemma to 5331 and 2124, to get
5331 = 2124 x 2 + 1083
Step 2: Since the reminder 2124 ≠ 0, we apply division lemma to 1083 and 2124, to get
2124 = 1083 x 1 + 1041
Step 3: We consider the new divisor 1083 and the new remainder 1041, and apply the division lemma to get
1083 = 1041 x 1 + 42
We consider the new divisor 1041 and the new remainder 42,and apply the division lemma to get
1041 = 42 x 24 + 33
We consider the new divisor 42 and the new remainder 33,and apply the division lemma to get
42 = 33 x 1 + 9
We consider the new divisor 33 and the new remainder 9,and apply the division lemma to get
33 = 9 x 3 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 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 5331 and 2124 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(33,9) = HCF(42,33) = HCF(1041,42) = HCF(1083,1041) = HCF(2124,1083) = HCF(5331,2124) .
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Frequently Asked Questions on HCF of 5331, 2124 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 5331, 2124?
Answer: HCF of 5331, 2124 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5331, 2124 using Euclid's Algorithm?
Answer: For arbitrary numbers 5331, 2124 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.